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What is the Least Common Multiple of 6824 and 6837?

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 6824 and 6837 is 46655688.

LCM(6824,6837) = 46655688

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Least Common Multiple of 6824 and 6837 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6824 and 6837, than apply into the LCM equation.

GCF(6824,6837) = 1
LCM(6824,6837) = ( 6824 × 6837) / 1
LCM(6824,6837) = 46655688 / 1
LCM(6824,6837) = 46655688

Least Common Multiple (LCM) of 6824 and 6837 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6824 and 6837. First we will calculate the prime factors of 6824 and 6837.

Prime Factorization of 6824

Prime factors of 6824 are 2, 853. Prime factorization of 6824 in exponential form is:

6824 = 23 × 8531

Prime Factorization of 6837

Prime factors of 6837 are 3, 43, 53. Prime factorization of 6837 in exponential form is:

6837 = 31 × 431 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 6824 and 6837.

LCM(6824,6837) = 23 × 8531 × 31 × 431 × 531
LCM(6824,6837) = 46655688