What is the Least Common Multiple of 93972 and 93989?

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 93989 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 93989, than apply into the LCM equation.

GCF(93972,93989) = 1
LCM(93972,93989) = ( 93972 × 93989) / 1
LCM(93972,93989) = 8832334308 / 1
LCM(93972,93989) = 8832334308

Least Common Multiple (LCM) of 93972 and 93989 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93972 and 93989. First we will calculate the prime factors of 93972 and 93989.

Prime Factorization of 93972

Prime Factorization of 93989

Now multiplying the highest exponent prime factors to calculate the LCM of 93972 and 93989.

LCM(93972,93989) = 2² × 3¹ × 41¹ × 191¹ × 7¹ × 29¹ × 463¹
LCM(93972,93989) = 8832334308