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What is the Least Common Multiple of 27995 and 28015?

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 27995 and 28015 is 156855985.

LCM(27995,28015) = 156855985

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Least Common Multiple of 27995 and 28015 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27995 and 28015, than apply into the LCM equation.

GCF(27995,28015) = 5
LCM(27995,28015) = ( 27995 × 28015) / 5
LCM(27995,28015) = 784279925 / 5
LCM(27995,28015) = 156855985

Least Common Multiple (LCM) of 27995 and 28015 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27995 and 28015. First we will calculate the prime factors of 27995 and 28015.

Prime Factorization of 27995

Prime factors of 27995 are 5, 11, 509. Prime factorization of 27995 in exponential form is:

27995 = 51 × 111 × 5091

Prime Factorization of 28015

Prime factors of 28015 are 5, 13, 431. Prime factorization of 28015 in exponential form is:

28015 = 51 × 131 × 4311

Now multiplying the highest exponent prime factors to calculate the LCM of 27995 and 28015.

LCM(27995,28015) = 51 × 111 × 5091 × 131 × 4311
LCM(27995,28015) = 156855985