What is the Least Common Multiple of 93045 and 93054?

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 93054 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 93054, than apply into the LCM equation.

GCF(93045,93054) = 3
LCM(93045,93054) = ( 93045 × 93054) / 3
LCM(93045,93054) = 8658209430 / 3
LCM(93045,93054) = 2886069810

Least Common Multiple (LCM) of 93045 and 93054 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93045 and 93054. First we will calculate the prime factors of 93045 and 93054.

Prime Factorization of 93045

Prime Factorization of 93054

Now multiplying the highest exponent prime factors to calculate the LCM of 93045 and 93054.

LCM(93045,93054) = 3¹ × 5¹ × 6203¹ × 2¹ × 13¹ × 1193¹
LCM(93045,93054) = 2886069810