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What is the Least Common Multiple of 10633 and 10641?

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 10641 is 113145753.

LCM(10633,10641) = 113145753

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Least Common Multiple of 10633 and 10641 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 10641, than apply into the LCM equation.

GCF(10633,10641) = 1
LCM(10633,10641) = ( 10633 × 10641) / 1
LCM(10633,10641) = 113145753 / 1
LCM(10633,10641) = 113145753

Least Common Multiple (LCM) of 10633 and 10641 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10633 and 10641. First we will calculate the prime factors of 10633 and 10641.

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 10641

Prime factors of 10641 are 3, 3547. Prime factorization of 10641 in exponential form is:

10641 = 31 × 35471

Now multiplying the highest exponent prime factors to calculate the LCM of 10633 and 10641.

LCM(10633,10641) = 73 × 311 × 31 × 35471
LCM(10633,10641) = 113145753