What is the Least Common Multiple of 85635 and 85644?

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 85635 and 85644 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85635 and 85644, than apply into the LCM equation.

GCF(85635,85644) = 9
LCM(85635,85644) = ( 85635 × 85644) / 9
LCM(85635,85644) = 7334123940 / 9
LCM(85635,85644) = 814902660

Least Common Multiple (LCM) of 85635 and 85644 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85635 and 85644. First we will calculate the prime factors of 85635 and 85644.

Prime Factorization of 85635

Prime Factorization of 85644

Now multiplying the highest exponent prime factors to calculate the LCM of 85635 and 85644.

LCM(85635,85644) = 3³ × 5¹ × 11¹ × 173¹ × 2² × 13¹ × 61¹
LCM(85635,85644) = 814902660