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What is the Least Common Multiple of 4754 and 4766?

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 4754 and 4766 is 11328782.

LCM(4754,4766) = 11328782

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Least Common Multiple of 4754 and 4766 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4754 and 4766, than apply into the LCM equation.

GCF(4754,4766) = 2
LCM(4754,4766) = ( 4754 × 4766) / 2
LCM(4754,4766) = 22657564 / 2
LCM(4754,4766) = 11328782

Least Common Multiple (LCM) of 4754 and 4766 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4754 and 4766. First we will calculate the prime factors of 4754 and 4766.

Prime Factorization of 4754

Prime factors of 4754 are 2, 2377. Prime factorization of 4754 in exponential form is:

4754 = 21 × 23771

Prime Factorization of 4766

Prime factors of 4766 are 2, 2383. Prime factorization of 4766 in exponential form is:

4766 = 21 × 23831

Now multiplying the highest exponent prime factors to calculate the LCM of 4754 and 4766.

LCM(4754,4766) = 21 × 23771 × 23831
LCM(4754,4766) = 11328782