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What is the Least Common Multiple of 27688 and 27701?

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 27688 and 27701 is 766985288.

LCM(27688,27701) = 766985288

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Least Common Multiple of 27688 and 27701 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27688 and 27701, than apply into the LCM equation.

GCF(27688,27701) = 1
LCM(27688,27701) = ( 27688 × 27701) / 1
LCM(27688,27701) = 766985288 / 1
LCM(27688,27701) = 766985288

Least Common Multiple (LCM) of 27688 and 27701 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27688 and 27701. First we will calculate the prime factors of 27688 and 27701.

Prime Factorization of 27688

Prime factors of 27688 are 2, 3461. Prime factorization of 27688 in exponential form is:

27688 = 23 × 34611

Prime Factorization of 27701

Prime factors of 27701 are 27701. Prime factorization of 27701 in exponential form is:

27701 = 277011

Now multiplying the highest exponent prime factors to calculate the LCM of 27688 and 27701.

LCM(27688,27701) = 23 × 34611 × 277011
LCM(27688,27701) = 766985288