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What is the Least Common Multiple of 6844 and 6859?

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 6844 and 6859 is 46942996.

LCM(6844,6859) = 46942996

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Least Common Multiple of 6844 and 6859 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6844 and 6859, than apply into the LCM equation.

GCF(6844,6859) = 1
LCM(6844,6859) = ( 6844 × 6859) / 1
LCM(6844,6859) = 46942996 / 1
LCM(6844,6859) = 46942996

Least Common Multiple (LCM) of 6844 and 6859 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6844 and 6859. First we will calculate the prime factors of 6844 and 6859.

Prime Factorization of 6844

Prime factors of 6844 are 2, 29, 59. Prime factorization of 6844 in exponential form is:

6844 = 22 × 291 × 591

Prime Factorization of 6859

Prime factors of 6859 are 19. Prime factorization of 6859 in exponential form is:

6859 = 193

Now multiplying the highest exponent prime factors to calculate the LCM of 6844 and 6859.

LCM(6844,6859) = 22 × 291 × 591 × 193
LCM(6844,6859) = 46942996