What is the Least Common Multiple of 52623 and 52638?

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 52623 and 52638 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52623 and 52638, than apply into the LCM equation.

GCF(52623,52638) = 3
LCM(52623,52638) = ( 52623 × 52638) / 3
LCM(52623,52638) = 2769969474 / 3
LCM(52623,52638) = 923323158

Least Common Multiple (LCM) of 52623 and 52638 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52623 and 52638. First we will calculate the prime factors of 52623 and 52638.

Prime Factorization of 52623

Prime Factorization of 52638

Now multiplying the highest exponent prime factors to calculate the LCM of 52623 and 52638.

LCM(52623,52638) = 3³ × 1949¹ × 2¹ × 31¹ × 283¹
LCM(52623,52638) = 923323158