What is the Least Common Multiple of 75648 and 75657?

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 75648 and 75657 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75648 and 75657, than apply into the LCM equation.

GCF(75648,75657) = 3
LCM(75648,75657) = ( 75648 × 75657) / 3
LCM(75648,75657) = 5723300736 / 3
LCM(75648,75657) = 1907766912

Least Common Multiple (LCM) of 75648 and 75657 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75648 and 75657. First we will calculate the prime factors of 75648 and 75657.

Prime Factorization of 75648

Prime Factorization of 75657

Now multiplying the highest exponent prime factors to calculate the LCM of 75648 and 75657.

LCM(75648,75657) = 2⁷ × 3¹ × 197¹ × 25219¹
LCM(75648,75657) = 1907766912