What is the Least Common Multiple of 52542 and 52549?

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 52542 and 52549 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52542 and 52549, than apply into the LCM equation.

GCF(52542,52549) = 7
LCM(52542,52549) = ( 52542 × 52549) / 7
LCM(52542,52549) = 2761029558 / 7
LCM(52542,52549) = 394432794

Least Common Multiple (LCM) of 52542 and 52549 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52542 and 52549. First we will calculate the prime factors of 52542 and 52549.

Prime Factorization of 52542

Prime Factorization of 52549

Now multiplying the highest exponent prime factors to calculate the LCM of 52542 and 52549.

LCM(52542,52549) = 2¹ × 3³ × 7¹ × 139¹ × 7507¹
LCM(52542,52549) = 394432794