What is the Least Common Multiple of 68623 and 68633?

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 68623 and 68633 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68623 and 68633, than apply into the LCM equation.

GCF(68623,68633) = 1
LCM(68623,68633) = ( 68623 × 68633) / 1
LCM(68623,68633) = 4709802359 / 1
LCM(68623,68633) = 4709802359

Least Common Multiple (LCM) of 68623 and 68633 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68623 and 68633. First we will calculate the prime factors of 68623 and 68633.

Prime Factorization of 68623

Prime Factorization of 68633

Now multiplying the highest exponent prime factors to calculate the LCM of 68623 and 68633.

LCM(68623,68633) = 163¹ × 421¹ × 68633¹
LCM(68623,68633) = 4709802359