What is the Least Common Multiple of 93720 and 93728?

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 93720 and 93728 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93720 and 93728, than apply into the LCM equation.

GCF(93720,93728) = 8
LCM(93720,93728) = ( 93720 × 93728) / 8
LCM(93720,93728) = 8784188160 / 8
LCM(93720,93728) = 1098023520

Least Common Multiple (LCM) of 93720 and 93728 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93720 and 93728. First we will calculate the prime factors of 93720 and 93728.

Prime Factorization of 93720

Prime Factorization of 93728

Now multiplying the highest exponent prime factors to calculate the LCM of 93720 and 93728.

LCM(93720,93728) = 2⁵ × 3¹ × 5¹ × 11¹ × 71¹ × 29¹ × 101¹
LCM(93720,93728) = 1098023520