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What is the Least Common Multiple of 10599 and 10619?

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 10599 and 10619 is 112550781.

LCM(10599,10619) = 112550781

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Least Common Multiple of 10599 and 10619 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10599 and 10619, than apply into the LCM equation.

GCF(10599,10619) = 1
LCM(10599,10619) = ( 10599 × 10619) / 1
LCM(10599,10619) = 112550781 / 1
LCM(10599,10619) = 112550781

Least Common Multiple (LCM) of 10599 and 10619 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10599 and 10619. First we will calculate the prime factors of 10599 and 10619.

Prime Factorization of 10599

Prime factors of 10599 are 3, 3533. Prime factorization of 10599 in exponential form is:

10599 = 31 × 35331

Prime Factorization of 10619

Prime factors of 10619 are 7, 37, 41. Prime factorization of 10619 in exponential form is:

10619 = 71 × 371 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 10599 and 10619.

LCM(10599,10619) = 31 × 35331 × 71 × 371 × 411
LCM(10599,10619) = 112550781