What is the Least Common Multiple of 85629 and 85649?

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 85649 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 85649, than apply into the LCM equation.

GCF(85629,85649) = 1
LCM(85629,85649) = ( 85629 × 85649) / 1
LCM(85629,85649) = 7334038221 / 1
LCM(85629,85649) = 7334038221

Least Common Multiple (LCM) of 85629 and 85649 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85629 and 85649. First we will calculate the prime factors of 85629 and 85649.

Prime Factorization of 85629

Prime Factorization of 85649

Now multiplying the highest exponent prime factors to calculate the LCM of 85629 and 85649.

LCM(85629,85649) = 3¹ × 17¹ × 23¹ × 73¹ × 41¹ × 2089¹
LCM(85629,85649) = 7334038221