What is the Least Common Multiple of 99524 and 99541?

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 99524 and 99541 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99524 and 99541, than apply into the LCM equation.

GCF(99524,99541) = 1
LCM(99524,99541) = ( 99524 × 99541) / 1
LCM(99524,99541) = 9906718484 / 1
LCM(99524,99541) = 9906718484

Least Common Multiple (LCM) of 99524 and 99541 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99524 and 99541. First we will calculate the prime factors of 99524 and 99541.

Prime Factorization of 99524

Prime Factorization of 99541

Now multiplying the highest exponent prime factors to calculate the LCM of 99524 and 99541.

LCM(99524,99541) = 2² × 139¹ × 179¹ × 13² × 19¹ × 31¹
LCM(99524,99541) = 9906718484