What is the Least Common Multiple of 27135 and 27144?

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 27135 and 27144 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27135 and 27144, than apply into the LCM equation.

GCF(27135,27144) = 9
LCM(27135,27144) = ( 27135 × 27144) / 9
LCM(27135,27144) = 736552440 / 9
LCM(27135,27144) = 81839160

Least Common Multiple (LCM) of 27135 and 27144 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27135 and 27144. First we will calculate the prime factors of 27135 and 27144.

Prime Factorization of 27135

Prime Factorization of 27144

Now multiplying the highest exponent prime factors to calculate the LCM of 27135 and 27144.

LCM(27135,27144) = 3⁴ × 5¹ × 67¹ × 2³ × 13¹ × 29¹
LCM(27135,27144) = 81839160