What is the Least Common Multiple of 99069 and 99075?

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 99069 and 99075 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99069 and 99075, than apply into the LCM equation.

GCF(99069,99075) = 3
LCM(99069,99075) = ( 99069 × 99075) / 3
LCM(99069,99075) = 9815261175 / 3
LCM(99069,99075) = 3271753725

Least Common Multiple (LCM) of 99069 and 99075 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99069 and 99075. First we will calculate the prime factors of 99069 and 99075.

Prime Factorization of 99069

Prime Factorization of 99075

Now multiplying the highest exponent prime factors to calculate the LCM of 99069 and 99075.

LCM(99069,99075) = 3¹ × 33023¹ × 5² × 1321¹
LCM(99069,99075) = 3271753725