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What is the Least Common Multiple of 6979 and 6997?

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 6997 is 48832063.

LCM(6979,6997) = 48832063

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Least Common Multiple of 6979 and 6997 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 6997, than apply into the LCM equation.

GCF(6979,6997) = 1
LCM(6979,6997) = ( 6979 × 6997) / 1
LCM(6979,6997) = 48832063 / 1
LCM(6979,6997) = 48832063

Least Common Multiple (LCM) of 6979 and 6997 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6979 and 6997. First we will calculate the prime factors of 6979 and 6997.

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 6997

Prime factors of 6997 are 6997. Prime factorization of 6997 in exponential form is:

6997 = 69971

Now multiplying the highest exponent prime factors to calculate the LCM of 6979 and 6997.

LCM(6979,6997) = 71 × 9971 × 69971
LCM(6979,6997) = 48832063