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What is the Least Common Multiple of 10623 and 10633?

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 10623 and 10633 is 112954359.

LCM(10623,10633) = 112954359

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Least Common Multiple of 10623 and 10633 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10623 and 10633, than apply into the LCM equation.

GCF(10623,10633) = 1
LCM(10623,10633) = ( 10623 × 10633) / 1
LCM(10623,10633) = 112954359 / 1
LCM(10623,10633) = 112954359

Least Common Multiple (LCM) of 10623 and 10633 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10623 and 10633. First we will calculate the prime factors of 10623 and 10633.

Prime Factorization of 10623

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

10623 = 31 × 35411

Prime Factorization of 10633

Prime factors of 10633 are 7, 31. Prime factorization of 10633 in exponential form is:

10633 = 73 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 10623 and 10633.

LCM(10623,10633) = 31 × 35411 × 73 × 311
LCM(10623,10633) = 112954359