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What is the Least Common Multiple of 27946 and 27957?

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 27946 and 27957 is 781286322.

LCM(27946,27957) = 781286322

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Least Common Multiple of 27946 and 27957 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27946 and 27957, than apply into the LCM equation.

GCF(27946,27957) = 1
LCM(27946,27957) = ( 27946 × 27957) / 1
LCM(27946,27957) = 781286322 / 1
LCM(27946,27957) = 781286322

Least Common Multiple (LCM) of 27946 and 27957 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27946 and 27957. First we will calculate the prime factors of 27946 and 27957.

Prime Factorization of 27946

Prime factors of 27946 are 2, 89, 157. Prime factorization of 27946 in exponential form is:

27946 = 21 × 891 × 1571

Prime Factorization of 27957

Prime factors of 27957 are 3, 9319. Prime factorization of 27957 in exponential form is:

27957 = 31 × 93191

Now multiplying the highest exponent prime factors to calculate the LCM of 27946 and 27957.

LCM(27946,27957) = 21 × 891 × 1571 × 31 × 93191
LCM(27946,27957) = 781286322