What is the Least Common Multiple of 27144 and 27162?

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 27144 and 27162 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27144 and 27162, than apply into the LCM equation.

GCF(27144,27162) = 18
LCM(27144,27162) = ( 27144 × 27162) / 18
LCM(27144,27162) = 737285328 / 18
LCM(27144,27162) = 40960296

Least Common Multiple (LCM) of 27144 and 27162 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27144 and 27162. First we will calculate the prime factors of 27144 and 27162.

Prime Factorization of 27144

Prime Factorization of 27162

Now multiplying the highest exponent prime factors to calculate the LCM of 27144 and 27162.

LCM(27144,27162) = 2³ × 3³ × 13¹ × 29¹ × 503¹
LCM(27144,27162) = 40960296