What is the Least Common Multiple of 99051 and 99063?

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 99051 and 99063 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99051 and 99063, than apply into the LCM equation.

GCF(99051,99063) = 3
LCM(99051,99063) = ( 99051 × 99063) / 3
LCM(99051,99063) = 9812289213 / 3
LCM(99051,99063) = 3270763071

Least Common Multiple (LCM) of 99051 and 99063 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99051 and 99063. First we will calculate the prime factors of 99051 and 99063.

Prime Factorization of 99051

Prime Factorization of 99063

Now multiplying the highest exponent prime factors to calculate the LCM of 99051 and 99063.

LCM(99051,99063) = 3⁴ × 137¹ × 241¹ × 1223¹
LCM(99051,99063) = 3270763071