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What is the Least Common Multiple of 6844 and 6854?

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 6854 is 23454388.

LCM(6844,6854) = 23454388

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Least Common Multiple of 6844 and 6854 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 6854, than apply into the LCM equation.

GCF(6844,6854) = 2
LCM(6844,6854) = ( 6844 × 6854) / 2
LCM(6844,6854) = 46908776 / 2
LCM(6844,6854) = 23454388

Least Common Multiple (LCM) of 6844 and 6854 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6844 and 6854. First we will calculate the prime factors of 6844 and 6854.

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 6854

Prime factors of 6854 are 2, 23, 149. Prime factorization of 6854 in exponential form is:

6854 = 21 × 231 × 1491

Now multiplying the highest exponent prime factors to calculate the LCM of 6844 and 6854.

LCM(6844,6854) = 22 × 291 × 591 × 231 × 1491
LCM(6844,6854) = 23454388