What is the Least Common Multiple of 27888 and 27908?

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 27888 and 27908 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27888 and 27908, than apply into the LCM equation.

GCF(27888,27908) = 4
LCM(27888,27908) = ( 27888 × 27908) / 4
LCM(27888,27908) = 778298304 / 4
LCM(27888,27908) = 194574576

Least Common Multiple (LCM) of 27888 and 27908 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27888 and 27908. First we will calculate the prime factors of 27888 and 27908.

Prime Factorization of 27888

Prime Factorization of 27908

Now multiplying the highest exponent prime factors to calculate the LCM of 27888 and 27908.

LCM(27888,27908) = 2⁴ × 3¹ × 7¹ × 83¹ × 6977¹
LCM(27888,27908) = 194574576