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What is the Least Common Multiple of 4632 and 4643?

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 4632 and 4643 is 21506376.

LCM(4632,4643) = 21506376

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Least Common Multiple of 4632 and 4643 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4632 and 4643, than apply into the LCM equation.

GCF(4632,4643) = 1
LCM(4632,4643) = ( 4632 × 4643) / 1
LCM(4632,4643) = 21506376 / 1
LCM(4632,4643) = 21506376

Least Common Multiple (LCM) of 4632 and 4643 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4632 and 4643. First we will calculate the prime factors of 4632 and 4643.

Prime Factorization of 4632

Prime factors of 4632 are 2, 3, 193. Prime factorization of 4632 in exponential form is:

4632 = 23 × 31 × 1931

Prime Factorization of 4643

Prime factors of 4643 are 4643. Prime factorization of 4643 in exponential form is:

4643 = 46431

Now multiplying the highest exponent prime factors to calculate the LCM of 4632 and 4643.

LCM(4632,4643) = 23 × 31 × 1931 × 46431
LCM(4632,4643) = 21506376