What is the Least Common Multiple of 57720 and 57736?

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 57720 and 57736 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57720 and 57736, than apply into the LCM equation.

GCF(57720,57736) = 8
LCM(57720,57736) = ( 57720 × 57736) / 8
LCM(57720,57736) = 3332521920 / 8
LCM(57720,57736) = 416565240

Least Common Multiple (LCM) of 57720 and 57736 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57720 and 57736. First we will calculate the prime factors of 57720 and 57736.

Prime Factorization of 57720

Prime Factorization of 57736

Now multiplying the highest exponent prime factors to calculate the LCM of 57720 and 57736.

LCM(57720,57736) = 2³ × 3¹ × 5¹ × 13¹ × 37¹ × 7¹ × 1031¹
LCM(57720,57736) = 416565240