What is the Least Common Multiple of 93728 and 93748?

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 93748 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 93748, than apply into the LCM equation.

GCF(93728,93748) = 4
LCM(93728,93748) = ( 93728 × 93748) / 4
LCM(93728,93748) = 8786812544 / 4
LCM(93728,93748) = 2196703136

Least Common Multiple (LCM) of 93728 and 93748 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93728 and 93748. First we will calculate the prime factors of 93728 and 93748.

Prime Factorization of 93728

Prime Factorization of 93748

Now multiplying the highest exponent prime factors to calculate the LCM of 93728 and 93748.

LCM(93728,93748) = 2⁵ × 29¹ × 101¹ × 23¹ × 1019¹
LCM(93728,93748) = 2196703136