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What is the Least Common Multiple of 6815 and 6824?

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 6815 and 6824 is 46505560.

LCM(6815,6824) = 46505560

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Least Common Multiple of 6815 and 6824 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6815 and 6824, than apply into the LCM equation.

GCF(6815,6824) = 1
LCM(6815,6824) = ( 6815 × 6824) / 1
LCM(6815,6824) = 46505560 / 1
LCM(6815,6824) = 46505560

Least Common Multiple (LCM) of 6815 and 6824 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6815 and 6824. First we will calculate the prime factors of 6815 and 6824.

Prime Factorization of 6815

Prime factors of 6815 are 5, 29, 47. Prime factorization of 6815 in exponential form is:

6815 = 51 × 291 × 471

Prime Factorization of 6824

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

6824 = 23 × 8531

Now multiplying the highest exponent prime factors to calculate the LCM of 6815 and 6824.

LCM(6815,6824) = 51 × 291 × 471 × 23 × 8531
LCM(6815,6824) = 46505560