What is the Least Common Multiple of 5 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 of 5 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 5 and 100, than apply into the LCM equation.

GCF(5,100) = 5
LCM(5,100) = ( 5 × 100) / 5
LCM(5,100) = 500 / 5
LCM(5,100) = 100

Least Common Multiple (LCM) of 5 and 100 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5 and 100. First we will calculate the prime factors of 5 and 100.

Prime Factorization of 5

Prime Factorization of 100

Now multiplying the highest exponent prime factors to calculate the LCM of 5 and 100.

LCM(5,100) = 5² × 2²
LCM(5,100) = 100