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What is the Least Common Multiple of 27986 and 27996?

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 27986 and 27996 is 391748028.

LCM(27986,27996) = 391748028

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Least Common Multiple of 27986 and 27996 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27986 and 27996, than apply into the LCM equation.

GCF(27986,27996) = 2
LCM(27986,27996) = ( 27986 × 27996) / 2
LCM(27986,27996) = 783496056 / 2
LCM(27986,27996) = 391748028

Least Common Multiple (LCM) of 27986 and 27996 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27986 and 27996. First we will calculate the prime factors of 27986 and 27996.

Prime Factorization of 27986

Prime factors of 27986 are 2, 7, 1999. Prime factorization of 27986 in exponential form is:

27986 = 21 × 71 × 19991

Prime Factorization of 27996

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

27996 = 22 × 31 × 23331

Now multiplying the highest exponent prime factors to calculate the LCM of 27986 and 27996.

LCM(27986,27996) = 22 × 71 × 19991 × 31 × 23331
LCM(27986,27996) = 391748028