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What is the Least Common Multiple of 27978 and 27995?

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 27978 and 27995 is 783244110.

LCM(27978,27995) = 783244110

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Least Common Multiple of 27978 and 27995 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27978 and 27995, than apply into the LCM equation.

GCF(27978,27995) = 1
LCM(27978,27995) = ( 27978 × 27995) / 1
LCM(27978,27995) = 783244110 / 1
LCM(27978,27995) = 783244110

Least Common Multiple (LCM) of 27978 and 27995 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27978 and 27995. First we will calculate the prime factors of 27978 and 27995.

Prime Factorization of 27978

Prime factors of 27978 are 2, 3, 4663. Prime factorization of 27978 in exponential form is:

27978 = 21 × 31 × 46631

Prime Factorization of 27995

Prime factors of 27995 are 5, 11, 509. Prime factorization of 27995 in exponential form is:

27995 = 51 × 111 × 5091

Now multiplying the highest exponent prime factors to calculate the LCM of 27978 and 27995.

LCM(27978,27995) = 21 × 31 × 46631 × 51 × 111 × 5091
LCM(27978,27995) = 783244110