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What is the Least Common Multiple of 4782 and 4794?

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 4794 is 3820818.

LCM(4782,4794) = 3820818

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Least Common Multiple of 4782 and 4794 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 4794, than apply into the LCM equation.

GCF(4782,4794) = 6
LCM(4782,4794) = ( 4782 × 4794) / 6
LCM(4782,4794) = 22924908 / 6
LCM(4782,4794) = 3820818

Least Common Multiple (LCM) of 4782 and 4794 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4782 and 4794. First we will calculate the prime factors of 4782 and 4794.

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 4794

Prime factors of 4794 are 2, 3, 17, 47. Prime factorization of 4794 in exponential form is:

4794 = 21 × 31 × 171 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 4782 and 4794.

LCM(4782,4794) = 21 × 31 × 7971 × 171 × 471
LCM(4782,4794) = 3820818