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What is the Least Common Multiple of 27991 and 28011?

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 27991 and 28011 is 784055901.

LCM(27991,28011) = 784055901

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Least Common Multiple of 27991 and 28011 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27991 and 28011, than apply into the LCM equation.

GCF(27991,28011) = 1
LCM(27991,28011) = ( 27991 × 28011) / 1
LCM(27991,28011) = 784055901 / 1
LCM(27991,28011) = 784055901

Least Common Multiple (LCM) of 27991 and 28011 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27991 and 28011. First we will calculate the prime factors of 27991 and 28011.

Prime Factorization of 27991

Prime factors of 27991 are 23, 1217. Prime factorization of 27991 in exponential form is:

27991 = 231 × 12171

Prime Factorization of 28011

Prime factors of 28011 are 3, 9337. Prime factorization of 28011 in exponential form is:

28011 = 31 × 93371

Now multiplying the highest exponent prime factors to calculate the LCM of 27991 and 28011.

LCM(27991,28011) = 231 × 12171 × 31 × 93371
LCM(27991,28011) = 784055901