What is the Least Common Multiple of 41672 and 41678?

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 41672 and 41678 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41672 and 41678, than apply into the LCM equation.

GCF(41672,41678) = 2
LCM(41672,41678) = ( 41672 × 41678) / 2
LCM(41672,41678) = 1736805616 / 2
LCM(41672,41678) = 868402808

Least Common Multiple (LCM) of 41672 and 41678 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41672 and 41678. First we will calculate the prime factors of 41672 and 41678.

Prime Factorization of 41672

Prime Factorization of 41678

Now multiplying the highest exponent prime factors to calculate the LCM of 41672 and 41678.

LCM(41672,41678) = 2³ × 5209¹ × 7¹ × 13¹ × 229¹
LCM(41672,41678) = 868402808