What is the Least Common Multiple of 99021 and 99036?

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 99021 and 99036 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99021 and 99036, than apply into the LCM equation.

GCF(99021,99036) = 3
LCM(99021,99036) = ( 99021 × 99036) / 3
LCM(99021,99036) = 9806643756 / 3
LCM(99021,99036) = 3268881252

Least Common Multiple (LCM) of 99021 and 99036 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99021 and 99036. First we will calculate the prime factors of 99021 and 99036.

Prime Factorization of 99021

Prime Factorization of 99036

Now multiplying the highest exponent prime factors to calculate the LCM of 99021 and 99036.

LCM(99021,99036) = 3³ × 13¹ × 2539¹ × 2² × 7¹ × 131¹
LCM(99021,99036) = 3268881252