What is the Least Common Multiple of 94974 and 94989?

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 94974 and 94989 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94974 and 94989, than apply into the LCM equation.

GCF(94974,94989) = 3
LCM(94974,94989) = ( 94974 × 94989) / 3
LCM(94974,94989) = 9021485286 / 3
LCM(94974,94989) = 3007161762

Least Common Multiple (LCM) of 94974 and 94989 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94974 and 94989. First we will calculate the prime factors of 94974 and 94989.

Prime Factorization of 94974

Prime Factorization of 94989

Now multiplying the highest exponent prime factors to calculate the LCM of 94974 and 94989.

LCM(94974,94989) = 2¹ × 3¹ × 11¹ × 1439¹ × 31663¹
LCM(94974,94989) = 3007161762