GCF and LCM Calculator Logo

What is the Least Common Multiple of 27381 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 (LCM) of 27381 and 27400 is 750239400.

LCM(27381,27400) = 750239400

LCM Calculator and
and

Least Common Multiple of 27381 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 27381 and 27400, than apply into the LCM equation.

GCF(27381,27400) = 1
LCM(27381,27400) = ( 27381 × 27400) / 1
LCM(27381,27400) = 750239400 / 1
LCM(27381,27400) = 750239400

Least Common Multiple (LCM) of 27381 and 27400 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27381 and 27400. First we will calculate the prime factors of 27381 and 27400.

Prime Factorization of 27381

Prime factors of 27381 are 3, 9127. Prime factorization of 27381 in exponential form is:

27381 = 31 × 91271

Prime Factorization of 27400

Prime factors of 27400 are 2, 5, 137. Prime factorization of 27400 in exponential form is:

27400 = 23 × 52 × 1371

Now multiplying the highest exponent prime factors to calculate the LCM of 27381 and 27400.

LCM(27381,27400) = 31 × 91271 × 23 × 52 × 1371
LCM(27381,27400) = 750239400