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What is the Least Common Multiple of 15969 and 15979?

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 15969 and 15979 is 255168651.

LCM(15969,15979) = 255168651

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Least Common Multiple of 15969 and 15979 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15969 and 15979, than apply into the LCM equation.

GCF(15969,15979) = 1
LCM(15969,15979) = ( 15969 × 15979) / 1
LCM(15969,15979) = 255168651 / 1
LCM(15969,15979) = 255168651

Least Common Multiple (LCM) of 15969 and 15979 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15969 and 15979. First we will calculate the prime factors of 15969 and 15979.

Prime Factorization of 15969

Prime factors of 15969 are 3, 5323. Prime factorization of 15969 in exponential form is:

15969 = 31 × 53231

Prime Factorization of 15979

Prime factors of 15979 are 19, 29. Prime factorization of 15979 in exponential form is:

15979 = 191 × 292

Now multiplying the highest exponent prime factors to calculate the LCM of 15969 and 15979.

LCM(15969,15979) = 31 × 53231 × 191 × 292
LCM(15969,15979) = 255168651