What is the Least Common Multiple of 27376 and 27396?

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 27376 and 27396 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27376 and 27396, than apply into the LCM equation.

GCF(27376,27396) = 4
LCM(27376,27396) = ( 27376 × 27396) / 4
LCM(27376,27396) = 749992896 / 4
LCM(27376,27396) = 187498224

Least Common Multiple (LCM) of 27376 and 27396 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27376 and 27396. First we will calculate the prime factors of 27376 and 27396.

Prime Factorization of 27376

Prime Factorization of 27396

Now multiplying the highest exponent prime factors to calculate the LCM of 27376 and 27396.

LCM(27376,27396) = 2⁴ × 29¹ × 59¹ × 3² × 761¹
LCM(27376,27396) = 187498224