What is the Least Common Multiple of 52614 and 52623?

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 52614 and 52623 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52614 and 52623, than apply into the LCM equation.

GCF(52614,52623) = 9
LCM(52614,52623) = ( 52614 × 52623) / 9
LCM(52614,52623) = 2768706522 / 9
LCM(52614,52623) = 307634058

Least Common Multiple (LCM) of 52614 and 52623 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52614 and 52623. First we will calculate the prime factors of 52614 and 52623.

Prime Factorization of 52614

Prime Factorization of 52623

Now multiplying the highest exponent prime factors to calculate the LCM of 52614 and 52623.

LCM(52614,52623) = 2¹ × 3³ × 37¹ × 79¹ × 1949¹
LCM(52614,52623) = 307634058