# What is the Least Common Multiple of 110 and 130?

*Least common multiple* or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 110 and 130 is **1430**.

LCM(110,130) = 1430

## Least Common Multiple of 110 and 130 with GCF Formula

The formula of **LCM** is LCM(a,b) = ( a × b) / GCF(a,b).

We need to calculate greatest common factor 110 and 130, than apply into the LCM equation.

GCF(110,130) = 10

LCM(110,130) = ( 110 × 130) / 10

LCM(110,130) = 14300 / 10

LCM(110,130) = 1430

## Least Common Multiple (LCM) of 110 and 130 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 110 and 130. First we will calculate the **prime factors of 110 and 130**.

### Prime Factorization of 110

Prime factors of 110 are 2, 5, 11. Prime factorization of **110** in exponential form is:

110 = 2^{1} × 5^{1} × 11^{1}

### Prime Factorization of 130

Prime factors of 130 are 2, 5, 13. Prime factorization of **130** in exponential form is:

130 = 2^{1} × 5^{1} × 13^{1}

Now multiplying the highest exponent prime factors to calculate the **LCM of 110 and 130**.

LCM(110,130) = 2^{1} × 5^{1} × 11^{1} × 13^{1}

LCM(110,130) = 1430

#### Related Least Common Multiples of 110

- LCM of 110 and 114
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- LCM of 110 and 130

#### Related Least Common Multiples of 130

- LCM of 130 and 134
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- LCM of 130 and 137
- LCM of 130 and 138
- LCM of 130 and 139
- LCM of 130 and 140
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