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What is the Least Common Multiple of 27895 and 27905?

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 27895 and 27905 is 155681995.

LCM(27895,27905) = 155681995

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Least Common Multiple of 27895 and 27905 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27895 and 27905, than apply into the LCM equation.

GCF(27895,27905) = 5
LCM(27895,27905) = ( 27895 × 27905) / 5
LCM(27895,27905) = 778409975 / 5
LCM(27895,27905) = 155681995

Least Common Multiple (LCM) of 27895 and 27905 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27895 and 27905. First we will calculate the prime factors of 27895 and 27905.

Prime Factorization of 27895

Prime factors of 27895 are 5, 7, 797. Prime factorization of 27895 in exponential form is:

27895 = 51 × 71 × 7971

Prime Factorization of 27905

Prime factors of 27905 are 5, 5581. Prime factorization of 27905 in exponential form is:

27905 = 51 × 55811

Now multiplying the highest exponent prime factors to calculate the LCM of 27895 and 27905.

LCM(27895,27905) = 51 × 71 × 7971 × 55811
LCM(27895,27905) = 155681995