What is the Least Common Multiple of 57714 and 57720?

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 57714 and 57720 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57714 and 57720, than apply into the LCM equation.

GCF(57714,57720) = 6
LCM(57714,57720) = ( 57714 × 57720) / 6
LCM(57714,57720) = 3331252080 / 6
LCM(57714,57720) = 555208680

Least Common Multiple (LCM) of 57714 and 57720 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57714 and 57720. First we will calculate the prime factors of 57714 and 57720.

Prime Factorization of 57714

Prime Factorization of 57720

Now multiplying the highest exponent prime factors to calculate the LCM of 57714 and 57720.

LCM(57714,57720) = 2³ × 3¹ × 9619¹ × 5¹ × 13¹ × 37¹
LCM(57714,57720) = 555208680