What is the Least Common Multiple of 57720 and 57727?

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 57727 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 57727, than apply into the LCM equation.

GCF(57720,57727) = 1
LCM(57720,57727) = ( 57720 × 57727) / 1
LCM(57720,57727) = 3332002440 / 1
LCM(57720,57727) = 3332002440

Least Common Multiple (LCM) of 57720 and 57727 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57720 and 57727. First we will calculate the prime factors of 57720 and 57727.

Prime Factorization of 57720

Prime Factorization of 57727

Now multiplying the highest exponent prime factors to calculate the LCM of 57720 and 57727.

LCM(57720,57727) = 2³ × 3¹ × 5¹ × 13¹ × 37¹ × 57727¹
LCM(57720,57727) = 3332002440