What is the Least Common Multiple of 27045 and 27054?

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 27045 and 27054 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27045 and 27054, than apply into the LCM equation.

GCF(27045,27054) = 9
LCM(27045,27054) = ( 27045 × 27054) / 9
LCM(27045,27054) = 731675430 / 9
LCM(27045,27054) = 81297270

Least Common Multiple (LCM) of 27045 and 27054 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27045 and 27054. First we will calculate the prime factors of 27045 and 27054.

Prime Factorization of 27045

Prime Factorization of 27054

Now multiplying the highest exponent prime factors to calculate the LCM of 27045 and 27054.

LCM(27045,27054) = 3⁴ × 5¹ × 601¹ × 2¹ × 167¹
LCM(27045,27054) = 81297270