What is the Least Common Multiple of 61626 and 61638?

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 61626 and 61638 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61626 and 61638, than apply into the LCM equation.

GCF(61626,61638) = 6
LCM(61626,61638) = ( 61626 × 61638) / 6
LCM(61626,61638) = 3798503388 / 6
LCM(61626,61638) = 633083898

Least Common Multiple (LCM) of 61626 and 61638 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61626 and 61638. First we will calculate the prime factors of 61626 and 61638.

Prime Factorization of 61626

Prime Factorization of 61638

Now multiplying the highest exponent prime factors to calculate the LCM of 61626 and 61638.

LCM(61626,61638) = 2¹ × 3¹ × 10271¹ × 10273¹
LCM(61626,61638) = 633083898