What is the Least Common Multiple of 27378 and 27384?

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 27378 and 27384 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27378 and 27384, than apply into the LCM equation.

GCF(27378,27384) = 6
LCM(27378,27384) = ( 27378 × 27384) / 6
LCM(27378,27384) = 749719152 / 6
LCM(27378,27384) = 124953192

Least Common Multiple (LCM) of 27378 and 27384 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27378 and 27384. First we will calculate the prime factors of 27378 and 27384.

Prime Factorization of 27378

Prime Factorization of 27384

Now multiplying the highest exponent prime factors to calculate the LCM of 27378 and 27384.

LCM(27378,27384) = 2³ × 3⁴ × 13² × 7¹ × 163¹
LCM(27378,27384) = 124953192