What is the Least Common Multiple of 41628 and 41646?

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 41628 and 41646 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41628 and 41646, than apply into the LCM equation.

GCF(41628,41646) = 6
LCM(41628,41646) = ( 41628 × 41646) / 6
LCM(41628,41646) = 1733639688 / 6
LCM(41628,41646) = 288939948

Least Common Multiple (LCM) of 41628 and 41646 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41628 and 41646. First we will calculate the prime factors of 41628 and 41646.

Prime Factorization of 41628

Prime Factorization of 41646

Now multiplying the highest exponent prime factors to calculate the LCM of 41628 and 41646.

LCM(41628,41646) = 2² × 3¹ × 3469¹ × 11¹ × 631¹
LCM(41628,41646) = 288939948