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What is the Least Common Multiple of 27691 and 27700?

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 27691 and 27700 is 767040700.

LCM(27691,27700) = 767040700

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Least Common Multiple of 27691 and 27700 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27691 and 27700, than apply into the LCM equation.

GCF(27691,27700) = 1
LCM(27691,27700) = ( 27691 × 27700) / 1
LCM(27691,27700) = 767040700 / 1
LCM(27691,27700) = 767040700

Least Common Multiple (LCM) of 27691 and 27700 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27691 and 27700. First we will calculate the prime factors of 27691 and 27700.

Prime Factorization of 27691

Prime factors of 27691 are 27691. Prime factorization of 27691 in exponential form is:

27691 = 276911

Prime Factorization of 27700

Prime factors of 27700 are 2, 5, 277. Prime factorization of 27700 in exponential form is:

27700 = 22 × 52 × 2771

Now multiplying the highest exponent prime factors to calculate the LCM of 27691 and 27700.

LCM(27691,27700) = 276911 × 22 × 52 × 2771
LCM(27691,27700) = 767040700