What is the Least Common Multiple of 99573 and 99579?

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 99573 and 99579 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99573 and 99579, than apply into the LCM equation.

GCF(99573,99579) = 3
LCM(99573,99579) = ( 99573 × 99579) / 3
LCM(99573,99579) = 9915379767 / 3
LCM(99573,99579) = 3305126589

Least Common Multiple (LCM) of 99573 and 99579 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99573 and 99579. First we will calculate the prime factors of 99573 and 99579.

Prime Factorization of 99573

Prime Factorization of 99579

Now multiplying the highest exponent prime factors to calculate the LCM of 99573 and 99579.

LCM(99573,99579) = 3¹ × 33191¹ × 19¹ × 1747¹
LCM(99573,99579) = 3305126589