What is the Least Common Multiple of 22974 and 22989?

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 22974 and 22989 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22974 and 22989, than apply into the LCM equation.

GCF(22974,22989) = 3
LCM(22974,22989) = ( 22974 × 22989) / 3
LCM(22974,22989) = 528149286 / 3
LCM(22974,22989) = 176049762

Least Common Multiple (LCM) of 22974 and 22989 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22974 and 22989. First we will calculate the prime factors of 22974 and 22989.

Prime Factorization of 22974

Prime Factorization of 22989

Now multiplying the highest exponent prime factors to calculate the LCM of 22974 and 22989.

LCM(22974,22989) = 2¹ × 3¹ × 7¹ × 547¹ × 79¹ × 97¹
LCM(22974,22989) = 176049762