What is the Least Common Multiple of 12492 and 12497?

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 12492 and 12497 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12492 and 12497, than apply into the LCM equation.

GCF(12492,12497) = 1
LCM(12492,12497) = ( 12492 × 12497) / 1
LCM(12492,12497) = 156112524 / 1
LCM(12492,12497) = 156112524

Least Common Multiple (LCM) of 12492 and 12497 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12492 and 12497. First we will calculate the prime factors of 12492 and 12497.

Prime Factorization of 12492

Prime Factorization of 12497

Now multiplying the highest exponent prime factors to calculate the LCM of 12492 and 12497.

LCM(12492,12497) = 2² × 3² × 347¹ × 12497¹
LCM(12492,12497) = 156112524