What is the Least Common Multiple of 52724 and 52744?

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 52724 and 52744 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52724 and 52744, than apply into the LCM equation.

GCF(52724,52744) = 4
LCM(52724,52744) = ( 52724 × 52744) / 4
LCM(52724,52744) = 2780874656 / 4
LCM(52724,52744) = 695218664

Least Common Multiple (LCM) of 52724 and 52744 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52724 and 52744. First we will calculate the prime factors of 52724 and 52744.

Prime Factorization of 52724

Prime Factorization of 52744

Now multiplying the highest exponent prime factors to calculate the LCM of 52724 and 52744.

LCM(52724,52744) = 2³ × 7² × 269¹ × 19¹ × 347¹
LCM(52724,52744) = 695218664