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What is the Least Common Multiple of 27404 and 27415?

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 27404 and 27415 is 751280660.

LCM(27404,27415) = 751280660

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Least Common Multiple of 27404 and 27415 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27404 and 27415, than apply into the LCM equation.

GCF(27404,27415) = 1
LCM(27404,27415) = ( 27404 × 27415) / 1
LCM(27404,27415) = 751280660 / 1
LCM(27404,27415) = 751280660

Least Common Multiple (LCM) of 27404 and 27415 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27404 and 27415. First we will calculate the prime factors of 27404 and 27415.

Prime Factorization of 27404

Prime factors of 27404 are 2, 13, 17, 31. Prime factorization of 27404 in exponential form is:

27404 = 22 × 131 × 171 × 311

Prime Factorization of 27415

Prime factors of 27415 are 5, 5483. Prime factorization of 27415 in exponential form is:

27415 = 51 × 54831

Now multiplying the highest exponent prime factors to calculate the LCM of 27404 and 27415.

LCM(27404,27415) = 22 × 131 × 171 × 311 × 51 × 54831
LCM(27404,27415) = 751280660