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What is the Least Common Multiple of 4782 and 4791?

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 4782 and 4791 is 7636854.

LCM(4782,4791) = 7636854

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Least Common Multiple of 4782 and 4791 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4782 and 4791, than apply into the LCM equation.

GCF(4782,4791) = 3
LCM(4782,4791) = ( 4782 × 4791) / 3
LCM(4782,4791) = 22910562 / 3
LCM(4782,4791) = 7636854

Least Common Multiple (LCM) of 4782 and 4791 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4782 and 4791. First we will calculate the prime factors of 4782 and 4791.

Prime Factorization of 4782

Prime factors of 4782 are 2, 3, 797. Prime factorization of 4782 in exponential form is:

4782 = 21 × 31 × 7971

Prime Factorization of 4791

Prime factors of 4791 are 3, 1597. Prime factorization of 4791 in exponential form is:

4791 = 31 × 15971

Now multiplying the highest exponent prime factors to calculate the LCM of 4782 and 4791.

LCM(4782,4791) = 21 × 31 × 7971 × 15971
LCM(4782,4791) = 7636854