What is the Least Common Multiple of 96723 and 96735?

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 96723 and 96735 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96723 and 96735, than apply into the LCM equation.

GCF(96723,96735) = 3
LCM(96723,96735) = ( 96723 × 96735) / 3
LCM(96723,96735) = 9356499405 / 3
LCM(96723,96735) = 3118833135

Least Common Multiple (LCM) of 96723 and 96735 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96723 and 96735. First we will calculate the prime factors of 96723 and 96735.

Prime Factorization of 96723

Prime Factorization of 96735

Now multiplying the highest exponent prime factors to calculate the LCM of 96723 and 96735.

LCM(96723,96735) = 3² × 11¹ × 977¹ × 5¹ × 6449¹
LCM(96723,96735) = 3118833135