What is the Least Common Multiple of 85623 and 85633?

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 85623 and 85633 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85623 and 85633, than apply into the LCM equation.

GCF(85623,85633) = 1
LCM(85623,85633) = ( 85623 × 85633) / 1
LCM(85623,85633) = 7332154359 / 1
LCM(85623,85633) = 7332154359

Least Common Multiple (LCM) of 85623 and 85633 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85623 and 85633. First we will calculate the prime factors of 85623 and 85633.

Prime Factorization of 85623

Prime Factorization of 85633

Now multiplying the highest exponent prime factors to calculate the LCM of 85623 and 85633.

LCM(85623,85633) = 3¹ × 28541¹ × 19¹ × 4507¹
LCM(85623,85633) = 7332154359