What is the Least Common Multiple of 85644 and 85664?

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 85644 and 85664 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85644 and 85664, than apply into the LCM equation.

GCF(85644,85664) = 4
LCM(85644,85664) = ( 85644 × 85664) / 4
LCM(85644,85664) = 7336607616 / 4
LCM(85644,85664) = 1834151904

Least Common Multiple (LCM) of 85644 and 85664 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85644 and 85664. First we will calculate the prime factors of 85644 and 85664.

Prime Factorization of 85644

Prime Factorization of 85664

Now multiplying the highest exponent prime factors to calculate the LCM of 85644 and 85664.

LCM(85644,85664) = 2⁵ × 3³ × 13¹ × 61¹ × 2677¹
LCM(85644,85664) = 1834151904