What is the Least Common Multiple of 52964 and 52979?

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 52979 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 52979, than apply into the LCM equation.

GCF(52964,52979) = 1
LCM(52964,52979) = ( 52964 × 52979) / 1
LCM(52964,52979) = 2805979756 / 1
LCM(52964,52979) = 2805979756

Least Common Multiple (LCM) of 52964 and 52979 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52964 and 52979. First we will calculate the prime factors of 52964 and 52979.

Prime Factorization of 52964

Prime Factorization of 52979

Now multiplying the highest exponent prime factors to calculate the LCM of 52964 and 52979.

LCM(52964,52979) = 2² × 13241¹ × 31¹ × 1709¹
LCM(52964,52979) = 2805979756