What is the Least Common Multiple of 52709 and 52724?

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 52709 and 52724 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52709 and 52724, than apply into the LCM equation.

GCF(52709,52724) = 1
LCM(52709,52724) = ( 52709 × 52724) / 1
LCM(52709,52724) = 2779029316 / 1
LCM(52709,52724) = 2779029316

Least Common Multiple (LCM) of 52709 and 52724 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52709 and 52724. First we will calculate the prime factors of 52709 and 52724.

Prime Factorization of 52709

Prime Factorization of 52724

Now multiplying the highest exponent prime factors to calculate the LCM of 52709 and 52724.

LCM(52709,52724) = 52709¹ × 2² × 7² × 269¹
LCM(52709,52724) = 2779029316