What is the Least Common Multiple of 99541 and 99545?

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 99541 and 99545 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99541 and 99545, than apply into the LCM equation.

GCF(99541,99545) = 1
LCM(99541,99545) = ( 99541 × 99545) / 1
LCM(99541,99545) = 9908808845 / 1
LCM(99541,99545) = 9908808845

Least Common Multiple (LCM) of 99541 and 99545 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99541 and 99545. First we will calculate the prime factors of 99541 and 99545.

Prime Factorization of 99541

Prime Factorization of 99545

Now multiplying the highest exponent prime factors to calculate the LCM of 99541 and 99545.

LCM(99541,99545) = 13² × 19¹ × 31¹ × 5¹ × 43¹ × 463¹
LCM(99541,99545) = 9908808845