What is the Least Common Multiple of 41628 and 41647?

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 41647 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 41647, than apply into the LCM equation.

GCF(41628,41647) = 1
LCM(41628,41647) = ( 41628 × 41647) / 1
LCM(41628,41647) = 1733681316 / 1
LCM(41628,41647) = 1733681316

Least Common Multiple (LCM) of 41628 and 41647 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41628 and 41647. First we will calculate the prime factors of 41628 and 41647.

Prime Factorization of 41628

Prime Factorization of 41647

Now multiplying the highest exponent prime factors to calculate the LCM of 41628 and 41647.

LCM(41628,41647) = 2² × 3¹ × 3469¹ × 41647¹
LCM(41628,41647) = 1733681316