What is the Least Common Multiple of 52974 and 52989?

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 52974 and 52989 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52974 and 52989, than apply into the LCM equation.

GCF(52974,52989) = 3
LCM(52974,52989) = ( 52974 × 52989) / 3
LCM(52974,52989) = 2807039286 / 3
LCM(52974,52989) = 935679762

Least Common Multiple (LCM) of 52974 and 52989 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52974 and 52989. First we will calculate the prime factors of 52974 and 52989.

Prime Factorization of 52974

Prime Factorization of 52989

Now multiplying the highest exponent prime factors to calculate the LCM of 52974 and 52989.

LCM(52974,52989) = 2¹ × 3⁵ × 109¹ × 17¹ × 1039¹
LCM(52974,52989) = 935679762