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What is the Least Common Multiple of 27955 and 27959?

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 27955 and 27959 is 781593845.

LCM(27955,27959) = 781593845

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Least Common Multiple of 27955 and 27959 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27955 and 27959, than apply into the LCM equation.

GCF(27955,27959) = 1
LCM(27955,27959) = ( 27955 × 27959) / 1
LCM(27955,27959) = 781593845 / 1
LCM(27955,27959) = 781593845

Least Common Multiple (LCM) of 27955 and 27959 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27955 and 27959. First we will calculate the prime factors of 27955 and 27959.

Prime Factorization of 27955

Prime factors of 27955 are 5, 5591. Prime factorization of 27955 in exponential form is:

27955 = 51 × 55911

Prime Factorization of 27959

Prime factors of 27959 are 73, 383. Prime factorization of 27959 in exponential form is:

27959 = 731 × 3831

Now multiplying the highest exponent prime factors to calculate the LCM of 27955 and 27959.

LCM(27955,27959) = 51 × 55911 × 731 × 3831
LCM(27955,27959) = 781593845