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What is the Least Common Multiple of 2839 and 2851?

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 2839 and 2851 is 8093989.

LCM(2839,2851) = 8093989

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Least Common Multiple of 2839 and 2851 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2839 and 2851, than apply into the LCM equation.

GCF(2839,2851) = 1
LCM(2839,2851) = ( 2839 × 2851) / 1
LCM(2839,2851) = 8093989 / 1
LCM(2839,2851) = 8093989

Least Common Multiple (LCM) of 2839 and 2851 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2839 and 2851. First we will calculate the prime factors of 2839 and 2851.

Prime Factorization of 2839

Prime factors of 2839 are 17, 167. Prime factorization of 2839 in exponential form is:

2839 = 171 × 1671

Prime Factorization of 2851

Prime factors of 2851 are 2851. Prime factorization of 2851 in exponential form is:

2851 = 28511

Now multiplying the highest exponent prime factors to calculate the LCM of 2839 and 2851.

LCM(2839,2851) = 171 × 1671 × 28511
LCM(2839,2851) = 8093989