What is the Least Common Multiple of 27144 and 27153?

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 27153 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 27153, than apply into the LCM equation.

GCF(27144,27153) = 9
LCM(27144,27153) = ( 27144 × 27153) / 9
LCM(27144,27153) = 737041032 / 9
LCM(27144,27153) = 81893448

Least Common Multiple (LCM) of 27144 and 27153 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27144 and 27153. First we will calculate the prime factors of 27144 and 27153.

Prime Factorization of 27144

Prime Factorization of 27153

Now multiplying the highest exponent prime factors to calculate the LCM of 27144 and 27153.

LCM(27144,27153) = 2³ × 3² × 13¹ × 29¹ × 7¹ × 431¹
LCM(27144,27153) = 81893448