What is the Least Common Multiple of 57664 and 57678?

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 57664 and 57678 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57664 and 57678, than apply into the LCM equation.

GCF(57664,57678) = 2
LCM(57664,57678) = ( 57664 × 57678) / 2
LCM(57664,57678) = 3325944192 / 2
LCM(57664,57678) = 1662972096

Least Common Multiple (LCM) of 57664 and 57678 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57664 and 57678. First we will calculate the prime factors of 57664 and 57678.

Prime Factorization of 57664

Prime Factorization of 57678

Now multiplying the highest exponent prime factors to calculate the LCM of 57664 and 57678.

LCM(57664,57678) = 2⁶ × 17¹ × 53¹ × 3¹ × 9613¹
LCM(57664,57678) = 1662972096