What is the Least Common Multiple of 12516 and 12536?

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 12516 and 12536 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12516 and 12536, than apply into the LCM equation.

GCF(12516,12536) = 4
LCM(12516,12536) = ( 12516 × 12536) / 4
LCM(12516,12536) = 156900576 / 4
LCM(12516,12536) = 39225144

Least Common Multiple (LCM) of 12516 and 12536 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12516 and 12536. First we will calculate the prime factors of 12516 and 12536.

Prime Factorization of 12516

Prime Factorization of 12536

Now multiplying the highest exponent prime factors to calculate the LCM of 12516 and 12536.

LCM(12516,12536) = 2³ × 3¹ × 7¹ × 149¹ × 1567¹
LCM(12516,12536) = 39225144