What is the Least Common Multiple of 41646 and 41660?

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 41660 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 41660, than apply into the LCM equation.

GCF(41646,41660) = 2
LCM(41646,41660) = ( 41646 × 41660) / 2
LCM(41646,41660) = 1734972360 / 2
LCM(41646,41660) = 867486180

Least Common Multiple (LCM) of 41646 and 41660 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41646 and 41660. First we will calculate the prime factors of 41646 and 41660.

Prime Factorization of 41646

Prime Factorization of 41660

Now multiplying the highest exponent prime factors to calculate the LCM of 41646 and 41660.

LCM(41646,41660) = 2² × 3¹ × 11¹ × 631¹ × 5¹ × 2083¹
LCM(41646,41660) = 867486180