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What is the Least Common Multiple of 6821 and 6830?

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 6821 and 6830 is 46587430.

LCM(6821,6830) = 46587430

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Least Common Multiple of 6821 and 6830 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6821 and 6830, than apply into the LCM equation.

GCF(6821,6830) = 1
LCM(6821,6830) = ( 6821 × 6830) / 1
LCM(6821,6830) = 46587430 / 1
LCM(6821,6830) = 46587430

Least Common Multiple (LCM) of 6821 and 6830 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6821 and 6830. First we will calculate the prime factors of 6821 and 6830.

Prime Factorization of 6821

Prime factors of 6821 are 19, 359. Prime factorization of 6821 in exponential form is:

6821 = 191 × 3591

Prime Factorization of 6830

Prime factors of 6830 are 2, 5, 683. Prime factorization of 6830 in exponential form is:

6830 = 21 × 51 × 6831

Now multiplying the highest exponent prime factors to calculate the LCM of 6821 and 6830.

LCM(6821,6830) = 191 × 3591 × 21 × 51 × 6831
LCM(6821,6830) = 46587430