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What is the Least Common Multiple of 6974 and 6979?

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 6974 and 6979 is 48671546.

LCM(6974,6979) = 48671546

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Least Common Multiple of 6974 and 6979 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6974 and 6979, than apply into the LCM equation.

GCF(6974,6979) = 1
LCM(6974,6979) = ( 6974 × 6979) / 1
LCM(6974,6979) = 48671546 / 1
LCM(6974,6979) = 48671546

Least Common Multiple (LCM) of 6974 and 6979 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6974 and 6979. First we will calculate the prime factors of 6974 and 6979.

Prime Factorization of 6974

Prime factors of 6974 are 2, 11, 317. Prime factorization of 6974 in exponential form is:

6974 = 21 × 111 × 3171

Prime Factorization of 6979

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

6979 = 71 × 9971

Now multiplying the highest exponent prime factors to calculate the LCM of 6974 and 6979.

LCM(6974,6979) = 21 × 111 × 3171 × 71 × 9971
LCM(6974,6979) = 48671546