What is the Least Common Multiple of 27908 and 27927?

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 27908 and 27927 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27908 and 27927, than apply into the LCM equation.

GCF(27908,27927) = 1
LCM(27908,27927) = ( 27908 × 27927) / 1
LCM(27908,27927) = 779386716 / 1
LCM(27908,27927) = 779386716

Least Common Multiple (LCM) of 27908 and 27927 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27908 and 27927. First we will calculate the prime factors of 27908 and 27927.

Prime Factorization of 27908

Prime Factorization of 27927

Now multiplying the highest exponent prime factors to calculate the LCM of 27908 and 27927.

LCM(27908,27927) = 2² × 6977¹ × 3² × 29¹ × 107¹
LCM(27908,27927) = 779386716