What is the Least Common Multiple of 52588 and 52598?

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 52588 and 52598 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52588 and 52598, than apply into the LCM equation.

GCF(52588,52598) = 2
LCM(52588,52598) = ( 52588 × 52598) / 2
LCM(52588,52598) = 2766023624 / 2
LCM(52588,52598) = 1383011812

Least Common Multiple (LCM) of 52588 and 52598 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52588 and 52598. First we will calculate the prime factors of 52588 and 52598.

Prime Factorization of 52588

Prime Factorization of 52598

Now multiplying the highest exponent prime factors to calculate the LCM of 52588 and 52598.

LCM(52588,52598) = 2² × 13147¹ × 7¹ × 13¹ × 17²
LCM(52588,52598) = 1383011812