What is the Least Common Multiple of 99745 and 99750?

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 99745 and 99750 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99745 and 99750, than apply into the LCM equation.

GCF(99745,99750) = 5
LCM(99745,99750) = ( 99745 × 99750) / 5
LCM(99745,99750) = 9949563750 / 5
LCM(99745,99750) = 1989912750

Least Common Multiple (LCM) of 99745 and 99750 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99745 and 99750. First we will calculate the prime factors of 99745 and 99750.

Prime Factorization of 99745

Prime Factorization of 99750

Now multiplying the highest exponent prime factors to calculate the LCM of 99745 and 99750.

LCM(99745,99750) = 5³ × 19949¹ × 2¹ × 3¹ × 7¹ × 19¹
LCM(99745,99750) = 1989912750