What is the Least Common Multiple of 96723 and 96741?

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 96741 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 96741, than apply into the LCM equation.

GCF(96723,96741) = 9
LCM(96723,96741) = ( 96723 × 96741) / 9
LCM(96723,96741) = 9357079743 / 9
LCM(96723,96741) = 1039675527

Least Common Multiple (LCM) of 96723 and 96741 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96723 and 96741. First we will calculate the prime factors of 96723 and 96741.

Prime Factorization of 96723

Prime Factorization of 96741

Now multiplying the highest exponent prime factors to calculate the LCM of 96723 and 96741.

LCM(96723,96741) = 3³ × 11¹ × 977¹ × 3583¹
LCM(96723,96741) = 1039675527