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What is the Least Common Multiple of 12650 and 12659?

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 12650 and 12659 is 160136350.

LCM(12650,12659) = 160136350

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Least Common Multiple of 12650 and 12659 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12650 and 12659, than apply into the LCM equation.

GCF(12650,12659) = 1
LCM(12650,12659) = ( 12650 × 12659) / 1
LCM(12650,12659) = 160136350 / 1
LCM(12650,12659) = 160136350

Least Common Multiple (LCM) of 12650 and 12659 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12650 and 12659. First we will calculate the prime factors of 12650 and 12659.

Prime Factorization of 12650

Prime factors of 12650 are 2, 5, 11, 23. Prime factorization of 12650 in exponential form is:

12650 = 21 × 52 × 111 × 231

Prime Factorization of 12659

Prime factors of 12659 are 12659. Prime factorization of 12659 in exponential form is:

12659 = 126591

Now multiplying the highest exponent prime factors to calculate the LCM of 12650 and 12659.

LCM(12650,12659) = 21 × 52 × 111 × 231 × 126591
LCM(12650,12659) = 160136350