What is the Least Common Multiple of 27264 and 27278?

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 27264 and 27278 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27264 and 27278, than apply into the LCM equation.

GCF(27264,27278) = 2
LCM(27264,27278) = ( 27264 × 27278) / 2
LCM(27264,27278) = 743707392 / 2
LCM(27264,27278) = 371853696

Least Common Multiple (LCM) of 27264 and 27278 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27264 and 27278. First we will calculate the prime factors of 27264 and 27278.

Prime Factorization of 27264

Prime Factorization of 27278

Now multiplying the highest exponent prime factors to calculate the LCM of 27264 and 27278.

LCM(27264,27278) = 2⁷ × 3¹ × 71¹ × 23¹ × 593¹
LCM(27264,27278) = 371853696