What is the Least Common Multiple of 99069 and 99087?

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 99087 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 99087, than apply into the LCM equation.

GCF(99069,99087) = 3
LCM(99069,99087) = ( 99069 × 99087) / 3
LCM(99069,99087) = 9816450003 / 3
LCM(99069,99087) = 3272150001

Least Common Multiple (LCM) of 99069 and 99087 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99069 and 99087. First we will calculate the prime factors of 99069 and 99087.

Prime Factorization of 99069

Prime Factorization of 99087

Now multiplying the highest exponent prime factors to calculate the LCM of 99069 and 99087.

LCM(99069,99087) = 3¹ × 33023¹ × 33029¹
LCM(99069,99087) = 3272150001