What is the Least Common Multiple of 27144 and 27148?

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 27148 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 27148, than apply into the LCM equation.

GCF(27144,27148) = 4
LCM(27144,27148) = ( 27144 × 27148) / 4
LCM(27144,27148) = 736905312 / 4
LCM(27144,27148) = 184226328

Least Common Multiple (LCM) of 27144 and 27148 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27144 and 27148. First we will calculate the prime factors of 27144 and 27148.

Prime Factorization of 27144

Prime Factorization of 27148

Now multiplying the highest exponent prime factors to calculate the LCM of 27144 and 27148.

LCM(27144,27148) = 2³ × 3² × 13¹ × 29¹ × 11¹ × 617¹
LCM(27144,27148) = 184226328