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What is the Least Common Multiple of 27976 and 27981?

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 27976 and 27981 is 782796456.

LCM(27976,27981) = 782796456

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Least Common Multiple of 27976 and 27981 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27976 and 27981, than apply into the LCM equation.

GCF(27976,27981) = 1
LCM(27976,27981) = ( 27976 × 27981) / 1
LCM(27976,27981) = 782796456 / 1
LCM(27976,27981) = 782796456

Least Common Multiple (LCM) of 27976 and 27981 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27976 and 27981. First we will calculate the prime factors of 27976 and 27981.

Prime Factorization of 27976

Prime factors of 27976 are 2, 13, 269. Prime factorization of 27976 in exponential form is:

27976 = 23 × 131 × 2691

Prime Factorization of 27981

Prime factors of 27981 are 3, 3109. Prime factorization of 27981 in exponential form is:

27981 = 32 × 31091

Now multiplying the highest exponent prime factors to calculate the LCM of 27976 and 27981.

LCM(27976,27981) = 23 × 131 × 2691 × 32 × 31091
LCM(27976,27981) = 782796456