What is the Least Common Multiple of 85638 and 85656?

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 85638 and 85656 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85638 and 85656, than apply into the LCM equation.

GCF(85638,85656) = 6
LCM(85638,85656) = ( 85638 × 85656) / 6
LCM(85638,85656) = 7335408528 / 6
LCM(85638,85656) = 1222568088

Least Common Multiple (LCM) of 85638 and 85656 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85638 and 85656. First we will calculate the prime factors of 85638 and 85656.

Prime Factorization of 85638

Prime Factorization of 85656

Now multiplying the highest exponent prime factors to calculate the LCM of 85638 and 85656.

LCM(85638,85656) = 2³ × 3¹ × 7¹ × 2039¹ × 43¹ × 83¹
LCM(85638,85656) = 1222568088