What is the Least Common Multiple of 62080 and 62100?

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 62080 and 62100 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62080 and 62100, than apply into the LCM equation.

GCF(62080,62100) = 20
LCM(62080,62100) = ( 62080 × 62100) / 20
LCM(62080,62100) = 3855168000 / 20
LCM(62080,62100) = 192758400

Least Common Multiple (LCM) of 62080 and 62100 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62080 and 62100. First we will calculate the prime factors of 62080 and 62100.

Prime Factorization of 62080

Prime Factorization of 62100

Now multiplying the highest exponent prime factors to calculate the LCM of 62080 and 62100.

LCM(62080,62100) = 2⁷ × 5² × 97¹ × 3³ × 23¹
LCM(62080,62100) = 192758400