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What is the Least Common Multiple of 6758 and 6771?

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 6758 and 6771 is 45758418.

LCM(6758,6771) = 45758418

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Least Common Multiple of 6758 and 6771 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6758 and 6771, than apply into the LCM equation.

GCF(6758,6771) = 1
LCM(6758,6771) = ( 6758 × 6771) / 1
LCM(6758,6771) = 45758418 / 1
LCM(6758,6771) = 45758418

Least Common Multiple (LCM) of 6758 and 6771 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6758 and 6771. First we will calculate the prime factors of 6758 and 6771.

Prime Factorization of 6758

Prime factors of 6758 are 2, 31, 109. Prime factorization of 6758 in exponential form is:

6758 = 21 × 311 × 1091

Prime Factorization of 6771

Prime factors of 6771 are 3, 37, 61. Prime factorization of 6771 in exponential form is:

6771 = 31 × 371 × 611

Now multiplying the highest exponent prime factors to calculate the LCM of 6758 and 6771.

LCM(6758,6771) = 21 × 311 × 1091 × 31 × 371 × 611
LCM(6758,6771) = 45758418