What is the Least Common Multiple of 93728 and 93732?

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 93728 and 93732 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93728 and 93732, than apply into the LCM equation.

GCF(93728,93732) = 4
LCM(93728,93732) = ( 93728 × 93732) / 4
LCM(93728,93732) = 8785312896 / 4
LCM(93728,93732) = 2196328224

Least Common Multiple (LCM) of 93728 and 93732 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93728 and 93732. First we will calculate the prime factors of 93728 and 93732.

Prime Factorization of 93728

Prime Factorization of 93732

Now multiplying the highest exponent prime factors to calculate the LCM of 93728 and 93732.

LCM(93728,93732) = 2⁵ × 29¹ × 101¹ × 3¹ × 73¹ × 107¹
LCM(93728,93732) = 2196328224