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What is the Least Common Multiple of 27991 and 27999?

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 27999 is 783720009.

LCM(27991,27999) = 783720009

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Least Common Multiple of 27991 and 27999 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 27999, than apply into the LCM equation.

GCF(27991,27999) = 1
LCM(27991,27999) = ( 27991 × 27999) / 1
LCM(27991,27999) = 783720009 / 1
LCM(27991,27999) = 783720009

Least Common Multiple (LCM) of 27991 and 27999 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27991 and 27999. First we will calculate the prime factors of 27991 and 27999.

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 27999

Prime factors of 27999 are 3, 17, 61. Prime factorization of 27999 in exponential form is:

27999 = 33 × 171 × 611

Now multiplying the highest exponent prime factors to calculate the LCM of 27991 and 27999.

LCM(27991,27999) = 231 × 12171 × 33 × 171 × 611
LCM(27991,27999) = 783720009