What is the Least Common Multiple of 99724 and 99735?

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 99724 and 99735 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99724 and 99735, than apply into the LCM equation.

GCF(99724,99735) = 1
LCM(99724,99735) = ( 99724 × 99735) / 1
LCM(99724,99735) = 9945973140 / 1
LCM(99724,99735) = 9945973140

Least Common Multiple (LCM) of 99724 and 99735 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99724 and 99735. First we will calculate the prime factors of 99724 and 99735.

Prime Factorization of 99724

Prime Factorization of 99735

Now multiplying the highest exponent prime factors to calculate the LCM of 99724 and 99735.

LCM(99724,99735) = 2² × 107¹ × 233¹ × 3¹ × 5¹ × 61¹ × 109¹
LCM(99724,99735) = 9945973140