What is the Least Common Multiple of 52598 and 52612?

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 52598 and 52612 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52598 and 52612, than apply into the LCM equation.

GCF(52598,52612) = 14
LCM(52598,52612) = ( 52598 × 52612) / 14
LCM(52598,52612) = 2767285976 / 14
LCM(52598,52612) = 197663284

Least Common Multiple (LCM) of 52598 and 52612 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52598 and 52612. First we will calculate the prime factors of 52598 and 52612.

Prime Factorization of 52598

Prime Factorization of 52612

Now multiplying the highest exponent prime factors to calculate the LCM of 52598 and 52612.

LCM(52598,52612) = 2² × 7¹ × 13¹ × 17² × 1879¹
LCM(52598,52612) = 197663284