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What is the Least Common Multiple of 10619 and 10623?

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 10619 and 10623 is 112805637.

LCM(10619,10623) = 112805637

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Least Common Multiple of 10619 and 10623 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10619 and 10623, than apply into the LCM equation.

GCF(10619,10623) = 1
LCM(10619,10623) = ( 10619 × 10623) / 1
LCM(10619,10623) = 112805637 / 1
LCM(10619,10623) = 112805637

Least Common Multiple (LCM) of 10619 and 10623 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10619 and 10623. First we will calculate the prime factors of 10619 and 10623.

Prime Factorization of 10619

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

10619 = 71 × 371 × 411

Prime Factorization of 10623

Prime factors of 10623 are 3, 3541. Prime factorization of 10623 in exponential form is:

10623 = 31 × 35411

Now multiplying the highest exponent prime factors to calculate the LCM of 10619 and 10623.

LCM(10619,10623) = 71 × 371 × 411 × 31 × 35411
LCM(10619,10623) = 112805637