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What is the Least Common Multiple of 10623 and 10634?

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 10634 is 112964982.

LCM(10623,10634) = 112964982

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Least Common Multiple of 10623 and 10634 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 10634, than apply into the LCM equation.

GCF(10623,10634) = 1
LCM(10623,10634) = ( 10623 × 10634) / 1
LCM(10623,10634) = 112964982 / 1
LCM(10623,10634) = 112964982

Least Common Multiple (LCM) of 10623 and 10634 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10623 and 10634. First we will calculate the prime factors of 10623 and 10634.

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 10634

Prime factors of 10634 are 2, 13, 409. Prime factorization of 10634 in exponential form is:

10634 = 21 × 131 × 4091

Now multiplying the highest exponent prime factors to calculate the LCM of 10623 and 10634.

LCM(10623,10634) = 31 × 35411 × 21 × 131 × 4091
LCM(10623,10634) = 112964982