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What is the Least Common Multiple of 2785 and 2796?

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 2785 and 2796 is 7786860.

LCM(2785,2796) = 7786860

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Least Common Multiple of 2785 and 2796 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2785 and 2796, than apply into the LCM equation.

GCF(2785,2796) = 1
LCM(2785,2796) = ( 2785 × 2796) / 1
LCM(2785,2796) = 7786860 / 1
LCM(2785,2796) = 7786860

Least Common Multiple (LCM) of 2785 and 2796 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2785 and 2796. First we will calculate the prime factors of 2785 and 2796.

Prime Factorization of 2785

Prime factors of 2785 are 5, 557. Prime factorization of 2785 in exponential form is:

2785 = 51 × 5571

Prime Factorization of 2796

Prime factors of 2796 are 2, 3, 233. Prime factorization of 2796 in exponential form is:

2796 = 22 × 31 × 2331

Now multiplying the highest exponent prime factors to calculate the LCM of 2785 and 2796.

LCM(2785,2796) = 51 × 5571 × 22 × 31 × 2331
LCM(2785,2796) = 7786860