What is the Least Common Multiple of 27270 and 27288?

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 27270 and 27288 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27270 and 27288, than apply into the LCM equation.

GCF(27270,27288) = 18
LCM(27270,27288) = ( 27270 × 27288) / 18
LCM(27270,27288) = 744143760 / 18
LCM(27270,27288) = 41341320

Least Common Multiple (LCM) of 27270 and 27288 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27270 and 27288. First we will calculate the prime factors of 27270 and 27288.

Prime Factorization of 27270

Prime Factorization of 27288

Now multiplying the highest exponent prime factors to calculate the LCM of 27270 and 27288.

LCM(27270,27288) = 2³ × 3³ × 5¹ × 101¹ × 379¹
LCM(27270,27288) = 41341320