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What is the Least Common Multiple of 27678 and 27687?

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 27678 and 27687 is 255440262.

LCM(27678,27687) = 255440262

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Least Common Multiple of 27678 and 27687 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27678 and 27687, than apply into the LCM equation.

GCF(27678,27687) = 3
LCM(27678,27687) = ( 27678 × 27687) / 3
LCM(27678,27687) = 766320786 / 3
LCM(27678,27687) = 255440262

Least Common Multiple (LCM) of 27678 and 27687 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27678 and 27687. First we will calculate the prime factors of 27678 and 27687.

Prime Factorization of 27678

Prime factors of 27678 are 2, 3, 7, 659. Prime factorization of 27678 in exponential form is:

27678 = 21 × 31 × 71 × 6591

Prime Factorization of 27687

Prime factors of 27687 are 3, 11, 839. Prime factorization of 27687 in exponential form is:

27687 = 31 × 111 × 8391

Now multiplying the highest exponent prime factors to calculate the LCM of 27678 and 27687.

LCM(27678,27687) = 21 × 31 × 71 × 6591 × 111 × 8391
LCM(27678,27687) = 255440262