What is the Least Common Multiple of 93792 and 93812?

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 93792 and 93812 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93792 and 93812, than apply into the LCM equation.

GCF(93792,93812) = 4
LCM(93792,93812) = ( 93792 × 93812) / 4
LCM(93792,93812) = 8798815104 / 4
LCM(93792,93812) = 2199703776

Least Common Multiple (LCM) of 93792 and 93812 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93792 and 93812. First we will calculate the prime factors of 93792 and 93812.

Prime Factorization of 93792

Prime Factorization of 93812

Now multiplying the highest exponent prime factors to calculate the LCM of 93792 and 93812.

LCM(93792,93812) = 2⁵ × 3¹ × 977¹ × 47¹ × 499¹
LCM(93792,93812) = 2199703776