What is the Least Common Multiple of 12604 and 12623?

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 12604 and 12623 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12604 and 12623, than apply into the LCM equation.

GCF(12604,12623) = 1
LCM(12604,12623) = ( 12604 × 12623) / 1
LCM(12604,12623) = 159100292 / 1
LCM(12604,12623) = 159100292

Least Common Multiple (LCM) of 12604 and 12623 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12604 and 12623. First we will calculate the prime factors of 12604 and 12623.

Prime Factorization of 12604

Prime Factorization of 12623

Now multiplying the highest exponent prime factors to calculate the LCM of 12604 and 12623.

LCM(12604,12623) = 2² × 23¹ × 137¹ × 13¹ × 971¹
LCM(12604,12623) = 159100292