What is the Least Common Multiple of 99723 and 99736?

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 99723 and 99736 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99723 and 99736, than apply into the LCM equation.

GCF(99723,99736) = 13
LCM(99723,99736) = ( 99723 × 99736) / 13
LCM(99723,99736) = 9945973128 / 13
LCM(99723,99736) = 765074856

Least Common Multiple (LCM) of 99723 and 99736 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99723 and 99736. First we will calculate the prime factors of 99723 and 99736.

Prime Factorization of 99723

Prime Factorization of 99736

Now multiplying the highest exponent prime factors to calculate the LCM of 99723 and 99736.

LCM(99723,99736) = 3¹ × 13¹ × 2557¹ × 2³ × 7¹ × 137¹
LCM(99723,99736) = 765074856