What is the Least Common Multiple of 94962 and 94968?

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 94962 and 94968 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94962 and 94968, than apply into the LCM equation.

GCF(94962,94968) = 6
LCM(94962,94968) = ( 94962 × 94968) / 6
LCM(94962,94968) = 9018351216 / 6
LCM(94962,94968) = 1503058536

Least Common Multiple (LCM) of 94962 and 94968 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94962 and 94968. First we will calculate the prime factors of 94962 and 94968.

Prime Factorization of 94962

Prime Factorization of 94968

Now multiplying the highest exponent prime factors to calculate the LCM of 94962 and 94968.

LCM(94962,94968) = 2³ × 3² × 7² × 17¹ × 19¹ × 1319¹
LCM(94962,94968) = 1503058536