What is the Least Common Multiple of 99712 and 99724?

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 99712 and 99724 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99712 and 99724, than apply into the LCM equation.

GCF(99712,99724) = 4
LCM(99712,99724) = ( 99712 × 99724) / 4
LCM(99712,99724) = 9943679488 / 4
LCM(99712,99724) = 2485919872

Least Common Multiple (LCM) of 99712 and 99724 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99712 and 99724. First we will calculate the prime factors of 99712 and 99724.

Prime Factorization of 99712

Prime Factorization of 99724

Now multiplying the highest exponent prime factors to calculate the LCM of 99712 and 99724.

LCM(99712,99724) = 2⁷ × 19¹ × 41¹ × 107¹ × 233¹
LCM(99712,99724) = 2485919872