What is the Least Common Multiple of 99039 and 99051?

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 99039 and 99051 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99039 and 99051, than apply into the LCM equation.

GCF(99039,99051) = 3
LCM(99039,99051) = ( 99039 × 99051) / 3
LCM(99039,99051) = 9809911989 / 3
LCM(99039,99051) = 3269970663

Least Common Multiple (LCM) of 99039 and 99051 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99039 and 99051. First we will calculate the prime factors of 99039 and 99051.

Prime Factorization of 99039

Prime Factorization of 99051

Now multiplying the highest exponent prime factors to calculate the LCM of 99039 and 99051.

LCM(99039,99051) = 3¹ × 33013¹ × 137¹ × 241¹
LCM(99039,99051) = 3269970663