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What is the Least Common Multiple of 12599 and 12610?

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 12599 and 12610 is 158873390.

LCM(12599,12610) = 158873390

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Least Common Multiple of 12599 and 12610 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12599 and 12610, than apply into the LCM equation.

GCF(12599,12610) = 1
LCM(12599,12610) = ( 12599 × 12610) / 1
LCM(12599,12610) = 158873390 / 1
LCM(12599,12610) = 158873390

Least Common Multiple (LCM) of 12599 and 12610 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12599 and 12610. First we will calculate the prime factors of 12599 and 12610.

Prime Factorization of 12599

Prime factors of 12599 are 43, 293. Prime factorization of 12599 in exponential form is:

12599 = 431 × 2931

Prime Factorization of 12610

Prime factors of 12610 are 2, 5, 13, 97. Prime factorization of 12610 in exponential form is:

12610 = 21 × 51 × 131 × 971

Now multiplying the highest exponent prime factors to calculate the LCM of 12599 and 12610.

LCM(12599,12610) = 431 × 2931 × 21 × 51 × 131 × 971
LCM(12599,12610) = 158873390