What is the Least Common Multiple of 99722 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 99722 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 99722 and 99728, than apply into the LCM equation.

GCF(99722,99728) = 2
LCM(99722,99728) = ( 99722 × 99728) / 2
LCM(99722,99728) = 9945075616 / 2
LCM(99722,99728) = 4972537808

Least Common Multiple (LCM) of 99722 and 99728 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99722 and 99728. First we will calculate the prime factors of 99722 and 99728.

Prime Factorization of 99722

Prime Factorization of 99728

Now multiplying the highest exponent prime factors to calculate the LCM of 99722 and 99728.

LCM(99722,99728) = 2⁴ × 7¹ × 17¹ × 419¹ × 23¹ × 271¹
LCM(99722,99728) = 4972537808