What is the Least Common Multiple of 41907 and 41916?

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 41907 and 41916 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41907 and 41916, than apply into the LCM equation.

GCF(41907,41916) = 3
LCM(41907,41916) = ( 41907 × 41916) / 3
LCM(41907,41916) = 1756573812 / 3
LCM(41907,41916) = 585524604

Least Common Multiple (LCM) of 41907 and 41916 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41907 and 41916. First we will calculate the prime factors of 41907 and 41916.

Prime Factorization of 41907

Prime Factorization of 41916

Now multiplying the highest exponent prime factors to calculate the LCM of 41907 and 41916.

LCM(41907,41916) = 3¹ × 61¹ × 229¹ × 2² × 7¹ × 499¹
LCM(41907,41916) = 585524604