What is the Least Common Multiple of 12612 and 12626?

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 12612 and 12626 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12612 and 12626, than apply into the LCM equation.

GCF(12612,12626) = 2
LCM(12612,12626) = ( 12612 × 12626) / 2
LCM(12612,12626) = 159239112 / 2
LCM(12612,12626) = 79619556

Least Common Multiple (LCM) of 12612 and 12626 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12612 and 12626. First we will calculate the prime factors of 12612 and 12626.

Prime Factorization of 12612

Prime Factorization of 12626

Now multiplying the highest exponent prime factors to calculate the LCM of 12612 and 12626.

LCM(12612,12626) = 2² × 3¹ × 1051¹ × 59¹ × 107¹
LCM(12612,12626) = 79619556