What is the Least Common Multiple of 27380 and 27400?

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 27380 and 27400 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27380 and 27400, than apply into the LCM equation.

GCF(27380,27400) = 20
LCM(27380,27400) = ( 27380 × 27400) / 20
LCM(27380,27400) = 750212000 / 20
LCM(27380,27400) = 37510600

Least Common Multiple (LCM) of 27380 and 27400 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27380 and 27400. First we will calculate the prime factors of 27380 and 27400.

Prime Factorization of 27380

Prime Factorization of 27400

Now multiplying the highest exponent prime factors to calculate the LCM of 27380 and 27400.

LCM(27380,27400) = 2³ × 5² × 37² × 137¹
LCM(27380,27400) = 37510600