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What is the Least Common Multiple of 27487 and 27494?

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 27487 and 27494 is 755727578.

LCM(27487,27494) = 755727578

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Least Common Multiple of 27487 and 27494 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27487 and 27494, than apply into the LCM equation.

GCF(27487,27494) = 1
LCM(27487,27494) = ( 27487 × 27494) / 1
LCM(27487,27494) = 755727578 / 1
LCM(27487,27494) = 755727578

Least Common Multiple (LCM) of 27487 and 27494 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27487 and 27494. First we will calculate the prime factors of 27487 and 27494.

Prime Factorization of 27487

Prime factors of 27487 are 27487. Prime factorization of 27487 in exponential form is:

27487 = 274871

Prime Factorization of 27494

Prime factors of 27494 are 2, 59, 233. Prime factorization of 27494 in exponential form is:

27494 = 21 × 591 × 2331

Now multiplying the highest exponent prime factors to calculate the LCM of 27487 and 27494.

LCM(27487,27494) = 274871 × 21 × 591 × 2331
LCM(27487,27494) = 755727578