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What is the Least Common Multiple of 27745 and 27757?

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 27745 and 27757 is 770117965.

LCM(27745,27757) = 770117965

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Least Common Multiple of 27745 and 27757 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27745 and 27757, than apply into the LCM equation.

GCF(27745,27757) = 1
LCM(27745,27757) = ( 27745 × 27757) / 1
LCM(27745,27757) = 770117965 / 1
LCM(27745,27757) = 770117965

Least Common Multiple (LCM) of 27745 and 27757 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27745 and 27757. First we will calculate the prime factors of 27745 and 27757.

Prime Factorization of 27745

Prime factors of 27745 are 5, 31, 179. Prime factorization of 27745 in exponential form is:

27745 = 51 × 311 × 1791

Prime Factorization of 27757

Prime factors of 27757 are 41, 677. Prime factorization of 27757 in exponential form is:

27757 = 411 × 6771

Now multiplying the highest exponent prime factors to calculate the LCM of 27745 and 27757.

LCM(27745,27757) = 51 × 311 × 1791 × 411 × 6771
LCM(27745,27757) = 770117965