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What is the Least Common Multiple of 4713 and 4733?

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 4713 and 4733 is 22306629.

LCM(4713,4733) = 22306629

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Least Common Multiple of 4713 and 4733 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4713 and 4733, than apply into the LCM equation.

GCF(4713,4733) = 1
LCM(4713,4733) = ( 4713 × 4733) / 1
LCM(4713,4733) = 22306629 / 1
LCM(4713,4733) = 22306629

Least Common Multiple (LCM) of 4713 and 4733 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4713 and 4733. First we will calculate the prime factors of 4713 and 4733.

Prime Factorization of 4713

Prime factors of 4713 are 3, 1571. Prime factorization of 4713 in exponential form is:

4713 = 31 × 15711

Prime Factorization of 4733

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

4733 = 47331

Now multiplying the highest exponent prime factors to calculate the LCM of 4713 and 4733.

LCM(4713,4733) = 31 × 15711 × 47331
LCM(4713,4733) = 22306629