What is the Least Common Multiple of 99709 and 99728?

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 99709 and 99728 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99709 and 99728, than apply into the LCM equation.

GCF(99709,99728) = 1
LCM(99709,99728) = ( 99709 × 99728) / 1
LCM(99709,99728) = 9943779152 / 1
LCM(99709,99728) = 9943779152

Least Common Multiple (LCM) of 99709 and 99728 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99709 and 99728. First we will calculate the prime factors of 99709 and 99728.

Prime Factorization of 99709

Prime Factorization of 99728

Now multiplying the highest exponent prime factors to calculate the LCM of 99709 and 99728.

LCM(99709,99728) = 99709¹ × 2⁴ × 23¹ × 271¹
LCM(99709,99728) = 9943779152