What is the Least Common Multiple of 57720 and 57740?

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 57740 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 57740, than apply into the LCM equation.

GCF(57720,57740) = 20
LCM(57720,57740) = ( 57720 × 57740) / 20
LCM(57720,57740) = 3332752800 / 20
LCM(57720,57740) = 166637640

Least Common Multiple (LCM) of 57720 and 57740 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57720 and 57740. First we will calculate the prime factors of 57720 and 57740.

Prime Factorization of 57720

Prime Factorization of 57740

Now multiplying the highest exponent prime factors to calculate the LCM of 57720 and 57740.

LCM(57720,57740) = 2³ × 3¹ × 5¹ × 13¹ × 37¹ × 2887¹
LCM(57720,57740) = 166637640