What is the Least Common Multiple of 99712 and 99726?

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 99726 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 99726, than apply into the LCM equation.

GCF(99712,99726) = 2
LCM(99712,99726) = ( 99712 × 99726) / 2
LCM(99712,99726) = 9943878912 / 2
LCM(99712,99726) = 4971939456

Least Common Multiple (LCM) of 99712 and 99726 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99712 and 99726. First we will calculate the prime factors of 99712 and 99726.

Prime Factorization of 99712

Prime Factorization of 99726

Now multiplying the highest exponent prime factors to calculate the LCM of 99712 and 99726.

LCM(99712,99726) = 2⁷ × 19¹ × 41¹ × 3¹ × 11¹ × 1511¹
LCM(99712,99726) = 4971939456