# What is the Least Common Multiple of 80 and 100?

*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 80 and 100 is **400**.

LCM(80,100) = 400

## Least Common Multiple of 80 and 100 with GCF Formula

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

We need to calculate greatest common factor 80 and 100, than apply into the LCM equation.

GCF(80,100) = 20

LCM(80,100) = ( 80 × 100) / 20

LCM(80,100) = 8000 / 20

LCM(80,100) = 400

## Least Common Multiple (LCM) of 80 and 100 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80 and 100. First we will calculate the **prime factors of 80 and 100**.

### Prime Factorization of 80

Prime factors of 80 are 2, 5. Prime factorization of **80** in exponential form is:

80 = 2^{4} × 5^{1}

### Prime Factorization of 100

Prime factors of 100 are 2, 5. Prime factorization of **100** in exponential form is:

100 = 2^{2} × 5^{2}

Now multiplying the highest exponent prime factors to calculate the **LCM of 80 and 100**.

LCM(80,100) = 2^{4} × 5^{2}

LCM(80,100) = 400

#### Related Least Common Multiples of 80

#### Related Least Common Multiples of 100

- LCM of 100 and 104
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- LCM of 100 and 106
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- LCM of 100 and 108
- LCM of 100 and 109
- LCM of 100 and 110
- LCM of 100 and 111
- LCM of 100 and 112
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- LCM of 100 and 114
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- LCM of 100 and 120