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What is the Least Common Multiple of 27894 and 27907?

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 27894 and 27907 is 778437858.

LCM(27894,27907) = 778437858

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Least Common Multiple of 27894 and 27907 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27894 and 27907, than apply into the LCM equation.

GCF(27894,27907) = 1
LCM(27894,27907) = ( 27894 × 27907) / 1
LCM(27894,27907) = 778437858 / 1
LCM(27894,27907) = 778437858

Least Common Multiple (LCM) of 27894 and 27907 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27894 and 27907. First we will calculate the prime factors of 27894 and 27907.

Prime Factorization of 27894

Prime factors of 27894 are 2, 3, 4649. Prime factorization of 27894 in exponential form is:

27894 = 21 × 31 × 46491

Prime Factorization of 27907

Prime factors of 27907 are 11, 43, 59. Prime factorization of 27907 in exponential form is:

27907 = 111 × 431 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 27894 and 27907.

LCM(27894,27907) = 21 × 31 × 46491 × 111 × 431 × 591
LCM(27894,27907) = 778437858