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What is the Least Common Multiple of 6816 and 6821?

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 6816 and 6821 is 46491936.

LCM(6816,6821) = 46491936

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Least Common Multiple of 6816 and 6821 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6816 and 6821, than apply into the LCM equation.

GCF(6816,6821) = 1
LCM(6816,6821) = ( 6816 × 6821) / 1
LCM(6816,6821) = 46491936 / 1
LCM(6816,6821) = 46491936

Least Common Multiple (LCM) of 6816 and 6821 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6816 and 6821. First we will calculate the prime factors of 6816 and 6821.

Prime Factorization of 6816

Prime factors of 6816 are 2, 3, 71. Prime factorization of 6816 in exponential form is:

6816 = 25 × 31 × 711

Prime Factorization of 6821

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

6821 = 191 × 3591

Now multiplying the highest exponent prime factors to calculate the LCM of 6816 and 6821.

LCM(6816,6821) = 25 × 31 × 711 × 191 × 3591
LCM(6816,6821) = 46491936