What is the Least Common Multiple of 57678 and 57688?

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 57678 and 57688 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57678 and 57688, than apply into the LCM equation.

GCF(57678,57688) = 2
LCM(57678,57688) = ( 57678 × 57688) / 2
LCM(57678,57688) = 3327328464 / 2
LCM(57678,57688) = 1663664232

Least Common Multiple (LCM) of 57678 and 57688 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57678 and 57688. First we will calculate the prime factors of 57678 and 57688.

Prime Factorization of 57678

Prime Factorization of 57688

Now multiplying the highest exponent prime factors to calculate the LCM of 57678 and 57688.

LCM(57678,57688) = 2³ × 3¹ × 9613¹ × 7211¹
LCM(57678,57688) = 1663664232