What is the Least Common Multiple of 52658 and 52674?

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 52658 and 52674 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52658 and 52674, than apply into the LCM equation.

GCF(52658,52674) = 2
LCM(52658,52674) = ( 52658 × 52674) / 2
LCM(52658,52674) = 2773707492 / 2
LCM(52658,52674) = 1386853746

Least Common Multiple (LCM) of 52658 and 52674 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52658 and 52674. First we will calculate the prime factors of 52658 and 52674.

Prime Factorization of 52658

Prime Factorization of 52674

Now multiplying the highest exponent prime factors to calculate the LCM of 52658 and 52674.

LCM(52658,52674) = 2¹ × 113¹ × 233¹ × 3¹ × 8779¹
LCM(52658,52674) = 1386853746