What is the Least Common Multiple of 41646 and 41665?

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 41646 and 41665 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41646 and 41665, than apply into the LCM equation.

GCF(41646,41665) = 1
LCM(41646,41665) = ( 41646 × 41665) / 1
LCM(41646,41665) = 1735180590 / 1
LCM(41646,41665) = 1735180590

Least Common Multiple (LCM) of 41646 and 41665 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41646 and 41665. First we will calculate the prime factors of 41646 and 41665.

Prime Factorization of 41646

Prime Factorization of 41665

Now multiplying the highest exponent prime factors to calculate the LCM of 41646 and 41665.

LCM(41646,41665) = 2¹ × 3¹ × 11¹ × 631¹ × 5¹ × 13¹ × 641¹
LCM(41646,41665) = 1735180590