What is the Least Common Multiple of 52622 and 52639?

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 52622 and 52639 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52622 and 52639, than apply into the LCM equation.

GCF(52622,52639) = 1
LCM(52622,52639) = ( 52622 × 52639) / 1
LCM(52622,52639) = 2769969458 / 1
LCM(52622,52639) = 2769969458

Least Common Multiple (LCM) of 52622 and 52639 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52622 and 52639. First we will calculate the prime factors of 52622 and 52639.

Prime Factorization of 52622

Prime Factorization of 52639

Now multiplying the highest exponent prime factors to calculate the LCM of 52622 and 52639.

LCM(52622,52639) = 2¹ × 83¹ × 317¹ × 52639¹
LCM(52622,52639) = 2769969458