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What is the Least Common Multiple of 27389 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 27389 and 27400 is 750458600.

LCM(27389,27400) = 750458600

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Least Common Multiple of 27389 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 27389 and 27400, than apply into the LCM equation.

GCF(27389,27400) = 1
LCM(27389,27400) = ( 27389 × 27400) / 1
LCM(27389,27400) = 750458600 / 1
LCM(27389,27400) = 750458600

Least Common Multiple (LCM) of 27389 and 27400 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27389 and 27400. First we will calculate the prime factors of 27389 and 27400.

Prime Factorization of 27389

Prime factors of 27389 are 61, 449. Prime factorization of 27389 in exponential form is:

27389 = 611 × 4491

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 27389 and 27400.

LCM(27389,27400) = 611 × 4491 × 23 × 52 × 1371
LCM(27389,27400) = 750458600