What is the Least Common Multiple of 57648 and 57660?

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 57648 and 57660 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57648 and 57660, than apply into the LCM equation.

GCF(57648,57660) = 12
LCM(57648,57660) = ( 57648 × 57660) / 12
LCM(57648,57660) = 3323983680 / 12
LCM(57648,57660) = 276998640

Least Common Multiple (LCM) of 57648 and 57660 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57648 and 57660. First we will calculate the prime factors of 57648 and 57660.

Prime Factorization of 57648

Prime Factorization of 57660

Now multiplying the highest exponent prime factors to calculate the LCM of 57648 and 57660.

LCM(57648,57660) = 2⁴ × 3¹ × 1201¹ × 5¹ × 31²
LCM(57648,57660) = 276998640