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What is the Least Common Multiple of 10623 and 10630?

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 10630 is 112922490.

LCM(10623,10630) = 112922490

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Least Common Multiple of 10623 and 10630 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 10630, than apply into the LCM equation.

GCF(10623,10630) = 1
LCM(10623,10630) = ( 10623 × 10630) / 1
LCM(10623,10630) = 112922490 / 1
LCM(10623,10630) = 112922490

Least Common Multiple (LCM) of 10623 and 10630 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10623 and 10630. First we will calculate the prime factors of 10623 and 10630.

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 10630

Prime factors of 10630 are 2, 5, 1063. Prime factorization of 10630 in exponential form is:

10630 = 21 × 51 × 10631

Now multiplying the highest exponent prime factors to calculate the LCM of 10623 and 10630.

LCM(10623,10630) = 31 × 35411 × 21 × 51 × 10631
LCM(10623,10630) = 112922490