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What is the Least Common Multiple of 12974 and 12979?

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 12974 and 12979 is 168389546.

LCM(12974,12979) = 168389546

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Least Common Multiple of 12974 and 12979 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12974 and 12979, than apply into the LCM equation.

GCF(12974,12979) = 1
LCM(12974,12979) = ( 12974 × 12979) / 1
LCM(12974,12979) = 168389546 / 1
LCM(12974,12979) = 168389546

Least Common Multiple (LCM) of 12974 and 12979 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12974 and 12979. First we will calculate the prime factors of 12974 and 12979.

Prime Factorization of 12974

Prime factors of 12974 are 2, 13, 499. Prime factorization of 12974 in exponential form is:

12974 = 21 × 131 × 4991

Prime Factorization of 12979

Prime factors of 12979 are 12979. Prime factorization of 12979 in exponential form is:

12979 = 129791

Now multiplying the highest exponent prime factors to calculate the LCM of 12974 and 12979.

LCM(12974,12979) = 21 × 131 × 4991 × 129791
LCM(12974,12979) = 168389546