What is the Least Common Multiple of 85653 and 85667?

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 85653 and 85667 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85653 and 85667, than apply into the LCM equation.

GCF(85653,85667) = 1
LCM(85653,85667) = ( 85653 × 85667) / 1
LCM(85653,85667) = 7337635551 / 1
LCM(85653,85667) = 7337635551

Least Common Multiple (LCM) of 85653 and 85667 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85653 and 85667. First we will calculate the prime factors of 85653 and 85667.

Prime Factorization of 85653

Prime Factorization of 85667

Now multiplying the highest exponent prime factors to calculate the LCM of 85653 and 85667.

LCM(85653,85667) = 3² × 31¹ × 307¹ × 85667¹
LCM(85653,85667) = 7337635551