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What is the Least Common Multiple of 7977 and 7994?

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 7977 and 7994 is 63768138.

LCM(7977,7994) = 63768138

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Least Common Multiple of 7977 and 7994 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7977 and 7994, than apply into the LCM equation.

GCF(7977,7994) = 1
LCM(7977,7994) = ( 7977 × 7994) / 1
LCM(7977,7994) = 63768138 / 1
LCM(7977,7994) = 63768138

Least Common Multiple (LCM) of 7977 and 7994 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7977 and 7994. First we will calculate the prime factors of 7977 and 7994.

Prime Factorization of 7977

Prime factors of 7977 are 3, 2659. Prime factorization of 7977 in exponential form is:

7977 = 31 × 26591

Prime Factorization of 7994

Prime factors of 7994 are 2, 7, 571. Prime factorization of 7994 in exponential form is:

7994 = 21 × 71 × 5711

Now multiplying the highest exponent prime factors to calculate the LCM of 7977 and 7994.

LCM(7977,7994) = 31 × 26591 × 21 × 71 × 5711
LCM(7977,7994) = 63768138