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What is the Least Common Multiple of 6883 and 6899?

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 6883 and 6899 is 47485817.

LCM(6883,6899) = 47485817

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Least Common Multiple of 6883 and 6899 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6883 and 6899, than apply into the LCM equation.

GCF(6883,6899) = 1
LCM(6883,6899) = ( 6883 × 6899) / 1
LCM(6883,6899) = 47485817 / 1
LCM(6883,6899) = 47485817

Least Common Multiple (LCM) of 6883 and 6899 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6883 and 6899. First we will calculate the prime factors of 6883 and 6899.

Prime Factorization of 6883

Prime factors of 6883 are 6883. Prime factorization of 6883 in exponential form is:

6883 = 68831

Prime Factorization of 6899

Prime factors of 6899 are 6899. Prime factorization of 6899 in exponential form is:

6899 = 68991

Now multiplying the highest exponent prime factors to calculate the LCM of 6883 and 6899.

LCM(6883,6899) = 68831 × 68991
LCM(6883,6899) = 47485817