What is the Least Common Multiple of 74723 and 74735?

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 74723 and 74735 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74723 and 74735, than apply into the LCM equation.

GCF(74723,74735) = 1
LCM(74723,74735) = ( 74723 × 74735) / 1
LCM(74723,74735) = 5584423405 / 1
LCM(74723,74735) = 5584423405

Least Common Multiple (LCM) of 74723 and 74735 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74723 and 74735. First we will calculate the prime factors of 74723 and 74735.

Prime Factorization of 74723

Prime Factorization of 74735

Now multiplying the highest exponent prime factors to calculate the LCM of 74723 and 74735.

LCM(74723,74735) = 11¹ × 6793¹ × 5¹ × 14947¹
LCM(74723,74735) = 5584423405