What is the Least Common Multiple of 99728 and 99740?

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 99728 and 99740 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99728 and 99740, than apply into the LCM equation.

GCF(99728,99740) = 4
LCM(99728,99740) = ( 99728 × 99740) / 4
LCM(99728,99740) = 9946870720 / 4
LCM(99728,99740) = 2486717680

Least Common Multiple (LCM) of 99728 and 99740 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99728 and 99740. First we will calculate the prime factors of 99728 and 99740.

Prime Factorization of 99728

Prime Factorization of 99740

Now multiplying the highest exponent prime factors to calculate the LCM of 99728 and 99740.

LCM(99728,99740) = 2⁴ × 23¹ × 271¹ × 5¹ × 4987¹
LCM(99728,99740) = 2486717680