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What is the Least Common Multiple of 4733 and 4742?

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 4733 and 4742 is 22443886.

LCM(4733,4742) = 22443886

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Least Common Multiple of 4733 and 4742 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4733 and 4742, than apply into the LCM equation.

GCF(4733,4742) = 1
LCM(4733,4742) = ( 4733 × 4742) / 1
LCM(4733,4742) = 22443886 / 1
LCM(4733,4742) = 22443886

Least Common Multiple (LCM) of 4733 and 4742 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4733 and 4742. First we will calculate the prime factors of 4733 and 4742.

Prime Factorization of 4733

Prime factors of 4733 are 4733. Prime factorization of 4733 in exponential form is:

4733 = 47331

Prime Factorization of 4742

Prime factors of 4742 are 2, 2371. Prime factorization of 4742 in exponential form is:

4742 = 21 × 23711

Now multiplying the highest exponent prime factors to calculate the LCM of 4733 and 4742.

LCM(4733,4742) = 47331 × 21 × 23711
LCM(4733,4742) = 22443886