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What is the Least Common Multiple of 12950 and 12959?

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 12950 and 12959 is 167819050.

LCM(12950,12959) = 167819050

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Least Common Multiple of 12950 and 12959 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12950 and 12959, than apply into the LCM equation.

GCF(12950,12959) = 1
LCM(12950,12959) = ( 12950 × 12959) / 1
LCM(12950,12959) = 167819050 / 1
LCM(12950,12959) = 167819050

Least Common Multiple (LCM) of 12950 and 12959 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12950 and 12959. First we will calculate the prime factors of 12950 and 12959.

Prime Factorization of 12950

Prime factors of 12950 are 2, 5, 7, 37. Prime factorization of 12950 in exponential form is:

12950 = 21 × 52 × 71 × 371

Prime Factorization of 12959

Prime factors of 12959 are 12959. Prime factorization of 12959 in exponential form is:

12959 = 129591

Now multiplying the highest exponent prime factors to calculate the LCM of 12950 and 12959.

LCM(12950,12959) = 21 × 52 × 71 × 371 × 129591
LCM(12950,12959) = 167819050