What is the Least Common Multiple of 93792 and 93807?

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 93807 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 93807, than apply into the LCM equation.

GCF(93792,93807) = 3
LCM(93792,93807) = ( 93792 × 93807) / 3
LCM(93792,93807) = 8798346144 / 3
LCM(93792,93807) = 2932782048

Least Common Multiple (LCM) of 93792 and 93807 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93792 and 93807. First we will calculate the prime factors of 93792 and 93807.

Prime Factorization of 93792

Prime Factorization of 93807

Now multiplying the highest exponent prime factors to calculate the LCM of 93792 and 93807.

LCM(93792,93807) = 2⁵ × 3² × 977¹ × 7¹ × 1489¹
LCM(93792,93807) = 2932782048