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What is the Least Common Multiple of 27709 and 27726?

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 27709 and 27726 is 768259734.

LCM(27709,27726) = 768259734

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Least Common Multiple of 27709 and 27726 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27709 and 27726, than apply into the LCM equation.

GCF(27709,27726) = 1
LCM(27709,27726) = ( 27709 × 27726) / 1
LCM(27709,27726) = 768259734 / 1
LCM(27709,27726) = 768259734

Least Common Multiple (LCM) of 27709 and 27726 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27709 and 27726. First we will calculate the prime factors of 27709 and 27726.

Prime Factorization of 27709

Prime factors of 27709 are 11, 229. Prime factorization of 27709 in exponential form is:

27709 = 112 × 2291

Prime Factorization of 27726

Prime factors of 27726 are 2, 3, 4621. Prime factorization of 27726 in exponential form is:

27726 = 21 × 31 × 46211

Now multiplying the highest exponent prime factors to calculate the LCM of 27709 and 27726.

LCM(27709,27726) = 112 × 2291 × 21 × 31 × 46211
LCM(27709,27726) = 768259734