What is the Least Common Multiple of 85619 and 85629?

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 85619 and 85629 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85619 and 85629, than apply into the LCM equation.

GCF(85619,85629) = 1
LCM(85619,85629) = ( 85619 × 85629) / 1
LCM(85619,85629) = 7331469351 / 1
LCM(85619,85629) = 7331469351

Least Common Multiple (LCM) of 85619 and 85629 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85619 and 85629. First we will calculate the prime factors of 85619 and 85629.

Prime Factorization of 85619

Prime Factorization of 85629

Now multiplying the highest exponent prime factors to calculate the LCM of 85619 and 85629.

LCM(85619,85629) = 85619¹ × 3¹ × 17¹ × 23¹ × 73¹
LCM(85619,85629) = 7331469351