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What is the Least Common Multiple of 6979 and 6994?

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 6979 and 6994 is 48811126.

LCM(6979,6994) = 48811126

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Least Common Multiple of 6979 and 6994 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6979 and 6994, than apply into the LCM equation.

GCF(6979,6994) = 1
LCM(6979,6994) = ( 6979 × 6994) / 1
LCM(6979,6994) = 48811126 / 1
LCM(6979,6994) = 48811126

Least Common Multiple (LCM) of 6979 and 6994 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6979 and 6994. First we will calculate the prime factors of 6979 and 6994.

Prime Factorization of 6979

Prime factors of 6979 are 7, 997. Prime factorization of 6979 in exponential form is:

6979 = 71 × 9971

Prime Factorization of 6994

Prime factors of 6994 are 2, 13, 269. Prime factorization of 6994 in exponential form is:

6994 = 21 × 131 × 2691

Now multiplying the highest exponent prime factors to calculate the LCM of 6979 and 6994.

LCM(6979,6994) = 71 × 9971 × 21 × 131 × 2691
LCM(6979,6994) = 48811126