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What is the Least Common Multiple of 27996 and 28010?

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 27996 and 28010 is 392083980.

LCM(27996,28010) = 392083980

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Least Common Multiple of 27996 and 28010 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27996 and 28010, than apply into the LCM equation.

GCF(27996,28010) = 2
LCM(27996,28010) = ( 27996 × 28010) / 2
LCM(27996,28010) = 784167960 / 2
LCM(27996,28010) = 392083980

Least Common Multiple (LCM) of 27996 and 28010 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27996 and 28010. First we will calculate the prime factors of 27996 and 28010.

Prime Factorization of 27996

Prime factors of 27996 are 2, 3, 2333. Prime factorization of 27996 in exponential form is:

27996 = 22 × 31 × 23331

Prime Factorization of 28010

Prime factors of 28010 are 2, 5, 2801. Prime factorization of 28010 in exponential form is:

28010 = 21 × 51 × 28011

Now multiplying the highest exponent prime factors to calculate the LCM of 27996 and 28010.

LCM(27996,28010) = 22 × 31 × 23331 × 51 × 28011
LCM(27996,28010) = 392083980