What is the Least Common Multiple of 95984 and 95989?

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 95984 and 95989 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95984 and 95989, than apply into the LCM equation.

GCF(95984,95989) = 1
LCM(95984,95989) = ( 95984 × 95989) / 1
LCM(95984,95989) = 9213408176 / 1
LCM(95984,95989) = 9213408176

Least Common Multiple (LCM) of 95984 and 95989 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95984 and 95989. First we will calculate the prime factors of 95984 and 95989.

Prime Factorization of 95984

Prime Factorization of 95989

Now multiplying the highest exponent prime factors to calculate the LCM of 95984 and 95989.

LCM(95984,95989) = 2⁴ × 7¹ × 857¹ × 95989¹
LCM(95984,95989) = 9213408176