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What is the Least Common Multiple of 67843 and 67849?

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 67843 and 67849 is 4603079707.

LCM(67843,67849) = 4603079707

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Least Common Multiple of 67843 and 67849 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67843 and 67849, than apply into the LCM equation.

GCF(67843,67849) = 1
LCM(67843,67849) = ( 67843 × 67849) / 1
LCM(67843,67849) = 4603079707 / 1
LCM(67843,67849) = 4603079707

Least Common Multiple (LCM) of 67843 and 67849 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67843 and 67849. First we will calculate the prime factors of 67843 and 67849.

Prime Factorization of 67843

Prime factors of 67843 are 67843. Prime factorization of 67843 in exponential form is:

67843 = 678431

Prime Factorization of 67849

Prime factors of 67849 are 19, 3571. Prime factorization of 67849 in exponential form is:

67849 = 191 × 35711

Now multiplying the highest exponent prime factors to calculate the LCM of 67843 and 67849.

LCM(67843,67849) = 678431 × 191 × 35711
LCM(67843,67849) = 4603079707