What is the Least Common Multiple of 93045 and 93057?

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 93045 and 93057 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93045 and 93057, than apply into the LCM equation.

GCF(93045,93057) = 3
LCM(93045,93057) = ( 93045 × 93057) / 3
LCM(93045,93057) = 8658488565 / 3
LCM(93045,93057) = 2886162855

Least Common Multiple (LCM) of 93045 and 93057 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93045 and 93057. First we will calculate the prime factors of 93045 and 93057.

Prime Factorization of 93045

Prime Factorization of 93057

Now multiplying the highest exponent prime factors to calculate the LCM of 93045 and 93057.

LCM(93045,93057) = 3¹ × 5¹ × 6203¹ × 31019¹
LCM(93045,93057) = 2886162855