What is the Least Common Multiple of 93972 and 93984?

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 93972 and 93984 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93972 and 93984, than apply into the LCM equation.

GCF(93972,93984) = 12
LCM(93972,93984) = ( 93972 × 93984) / 12
LCM(93972,93984) = 8831864448 / 12
LCM(93972,93984) = 735988704

Least Common Multiple (LCM) of 93972 and 93984 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93972 and 93984. First we will calculate the prime factors of 93972 and 93984.

Prime Factorization of 93972

Prime Factorization of 93984

Now multiplying the highest exponent prime factors to calculate the LCM of 93972 and 93984.

LCM(93972,93984) = 2⁵ × 3¹ × 41¹ × 191¹ × 11¹ × 89¹
LCM(93972,93984) = 735988704