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What is the Least Common Multiple of 27997 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 27997 and 28015 is 784335955.

LCM(27997,28015) = 784335955

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Least Common Multiple of 27997 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 27997 and 28015, than apply into the LCM equation.

GCF(27997,28015) = 1
LCM(27997,28015) = ( 27997 × 28015) / 1
LCM(27997,28015) = 784335955 / 1
LCM(27997,28015) = 784335955

Least Common Multiple (LCM) of 27997 and 28015 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27997 and 28015. First we will calculate the prime factors of 27997 and 28015.

Prime Factorization of 27997

Prime factors of 27997 are 27997. Prime factorization of 27997 in exponential form is:

27997 = 279971

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 27997 and 28015.

LCM(27997,28015) = 279971 × 51 × 131 × 4311
LCM(27997,28015) = 784335955