What is the Least Common Multiple of 99045 and 99057?

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 99045 and 99057 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99045 and 99057, than apply into the LCM equation.

GCF(99045,99057) = 3
LCM(99045,99057) = ( 99045 × 99057) / 3
LCM(99045,99057) = 9811100565 / 3
LCM(99045,99057) = 3270366855

Least Common Multiple (LCM) of 99045 and 99057 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99045 and 99057. First we will calculate the prime factors of 99045 and 99057.

Prime Factorization of 99045

Prime Factorization of 99057

Now multiplying the highest exponent prime factors to calculate the LCM of 99045 and 99057.

LCM(99045,99057) = 3² × 5¹ × 31¹ × 71¹ × 7¹ × 53¹ × 89¹
LCM(99045,99057) = 3270366855