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What is the Least Common Multiple of 10633 and 10644?

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 10633 and 10644 is 113177652.

LCM(10633,10644) = 113177652

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Least Common Multiple of 10633 and 10644 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10633 and 10644, than apply into the LCM equation.

GCF(10633,10644) = 1
LCM(10633,10644) = ( 10633 × 10644) / 1
LCM(10633,10644) = 113177652 / 1
LCM(10633,10644) = 113177652

Least Common Multiple (LCM) of 10633 and 10644 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10633 and 10644. First we will calculate the prime factors of 10633 and 10644.

Prime Factorization of 10633

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

10633 = 73 × 311

Prime Factorization of 10644

Prime factors of 10644 are 2, 3, 887. Prime factorization of 10644 in exponential form is:

10644 = 22 × 31 × 8871

Now multiplying the highest exponent prime factors to calculate the LCM of 10633 and 10644.

LCM(10633,10644) = 73 × 311 × 22 × 31 × 8871
LCM(10633,10644) = 113177652