What is the Least Common Multiple of 52964 and 52974?

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 52964 and 52974 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52964 and 52974, than apply into the LCM equation.

GCF(52964,52974) = 2
LCM(52964,52974) = ( 52964 × 52974) / 2
LCM(52964,52974) = 2805714936 / 2
LCM(52964,52974) = 1402857468

Least Common Multiple (LCM) of 52964 and 52974 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52964 and 52974. First we will calculate the prime factors of 52964 and 52974.

Prime Factorization of 52964

Prime Factorization of 52974

Now multiplying the highest exponent prime factors to calculate the LCM of 52964 and 52974.

LCM(52964,52974) = 2² × 13241¹ × 3⁵ × 109¹
LCM(52964,52974) = 1402857468