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What is the Least Common Multiple of 10632 and 10643?

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 10632 and 10643 is 113156376.

LCM(10632,10643) = 113156376

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Least Common Multiple of 10632 and 10643 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10632 and 10643, than apply into the LCM equation.

GCF(10632,10643) = 1
LCM(10632,10643) = ( 10632 × 10643) / 1
LCM(10632,10643) = 113156376 / 1
LCM(10632,10643) = 113156376

Least Common Multiple (LCM) of 10632 and 10643 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10632 and 10643. First we will calculate the prime factors of 10632 and 10643.

Prime Factorization of 10632

Prime factors of 10632 are 2, 3, 443. Prime factorization of 10632 in exponential form is:

10632 = 23 × 31 × 4431

Prime Factorization of 10643

Prime factors of 10643 are 29, 367. Prime factorization of 10643 in exponential form is:

10643 = 291 × 3671

Now multiplying the highest exponent prime factors to calculate the LCM of 10632 and 10643.

LCM(10632,10643) = 23 × 31 × 4431 × 291 × 3671
LCM(10632,10643) = 113156376