What is the Least Common Multiple of 52606 and 52622?

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 52606 and 52622 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52606 and 52622, than apply into the LCM equation.

GCF(52606,52622) = 2
LCM(52606,52622) = ( 52606 × 52622) / 2
LCM(52606,52622) = 2768232932 / 2
LCM(52606,52622) = 1384116466

Least Common Multiple (LCM) of 52606 and 52622 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52606 and 52622. First we will calculate the prime factors of 52606 and 52622.

Prime Factorization of 52606

Prime Factorization of 52622

Now multiplying the highest exponent prime factors to calculate the LCM of 52606 and 52622.

LCM(52606,52622) = 2¹ × 29¹ × 907¹ × 83¹ × 317¹
LCM(52606,52622) = 1384116466