What is the Least Common Multiple of 61008 and 61021?

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 61008 and 61021 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61008 and 61021, than apply into the LCM equation.

GCF(61008,61021) = 1
LCM(61008,61021) = ( 61008 × 61021) / 1
LCM(61008,61021) = 3722769168 / 1
LCM(61008,61021) = 3722769168

Least Common Multiple (LCM) of 61008 and 61021 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61008 and 61021. First we will calculate the prime factors of 61008 and 61021.

Prime Factorization of 61008

Prime Factorization of 61021

Now multiplying the highest exponent prime factors to calculate the LCM of 61008 and 61021.

LCM(61008,61021) = 2⁴ × 3¹ × 31¹ × 41¹ × 139¹ × 439¹
LCM(61008,61021) = 3722769168