What is the Least Common Multiple of 73752 and 73757?

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 73752 and 73757 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73752 and 73757, than apply into the LCM equation.

GCF(73752,73757) = 1
LCM(73752,73757) = ( 73752 × 73757) / 1
LCM(73752,73757) = 5439726264 / 1
LCM(73752,73757) = 5439726264

Least Common Multiple (LCM) of 73752 and 73757 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73752 and 73757. First we will calculate the prime factors of 73752 and 73757.

Prime Factorization of 73752

Prime Factorization of 73757

Now multiplying the highest exponent prime factors to calculate the LCM of 73752 and 73757.

LCM(73752,73757) = 2³ × 3¹ × 7¹ × 439¹ × 73757¹
LCM(73752,73757) = 5439726264