What is the Least Common Multiple of 85629 and 85646?

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 85629 and 85646 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85629 and 85646, than apply into the LCM equation.

GCF(85629,85646) = 17
LCM(85629,85646) = ( 85629 × 85646) / 17
LCM(85629,85646) = 7333781334 / 17
LCM(85629,85646) = 431398902

Least Common Multiple (LCM) of 85629 and 85646 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85629 and 85646. First we will calculate the prime factors of 85629 and 85646.

Prime Factorization of 85629

Prime Factorization of 85646

Now multiplying the highest exponent prime factors to calculate the LCM of 85629 and 85646.

LCM(85629,85646) = 3¹ × 17¹ × 23¹ × 73¹ × 2¹ × 11¹ × 229¹
LCM(85629,85646) = 431398902