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What is the Least Common Multiple of 27395 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 27395 and 27400 is 150124600.

LCM(27395,27400) = 150124600

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Least Common Multiple of 27395 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 27395 and 27400, than apply into the LCM equation.

GCF(27395,27400) = 5
LCM(27395,27400) = ( 27395 × 27400) / 5
LCM(27395,27400) = 750623000 / 5
LCM(27395,27400) = 150124600

Least Common Multiple (LCM) of 27395 and 27400 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27395 and 27400. First we will calculate the prime factors of 27395 and 27400.

Prime Factorization of 27395

Prime factors of 27395 are 5, 5479. Prime factorization of 27395 in exponential form is:

27395 = 51 × 54791

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 27395 and 27400.

LCM(27395,27400) = 52 × 54791 × 23 × 1371
LCM(27395,27400) = 150124600