What is the Least Common Multiple of 74675 and 74688?

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 74675 and 74688 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74675 and 74688, than apply into the LCM equation.

GCF(74675,74688) = 1
LCM(74675,74688) = ( 74675 × 74688) / 1
LCM(74675,74688) = 5577326400 / 1
LCM(74675,74688) = 5577326400

Least Common Multiple (LCM) of 74675 and 74688 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74675 and 74688. First we will calculate the prime factors of 74675 and 74688.

Prime Factorization of 74675

Prime Factorization of 74688

Now multiplying the highest exponent prime factors to calculate the LCM of 74675 and 74688.

LCM(74675,74688) = 5² × 29¹ × 103¹ × 2⁶ × 3¹ × 389¹
LCM(74675,74688) = 5577326400