What is the Least Common Multiple of 41656 and 41672?

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 41656 and 41672 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41656 and 41672, than apply into the LCM equation.

GCF(41656,41672) = 8
LCM(41656,41672) = ( 41656 × 41672) / 8
LCM(41656,41672) = 1735888832 / 8
LCM(41656,41672) = 216986104

Least Common Multiple (LCM) of 41656 and 41672 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41656 and 41672. First we will calculate the prime factors of 41656 and 41672.

Prime Factorization of 41656

Prime Factorization of 41672

Now multiplying the highest exponent prime factors to calculate the LCM of 41656 and 41672.

LCM(41656,41672) = 2³ × 41¹ × 127¹ × 5209¹
LCM(41656,41672) = 216986104