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What is the Least Common Multiple of 6761 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 6761 and 6771 is 45778731.

LCM(6761,6771) = 45778731

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Least Common Multiple of 6761 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 6761 and 6771, than apply into the LCM equation.

GCF(6761,6771) = 1
LCM(6761,6771) = ( 6761 × 6771) / 1
LCM(6761,6771) = 45778731 / 1
LCM(6761,6771) = 45778731

Least Common Multiple (LCM) of 6761 and 6771 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6761 and 6771. First we will calculate the prime factors of 6761 and 6771.

Prime Factorization of 6761

Prime factors of 6761 are 6761. Prime factorization of 6761 in exponential form is:

6761 = 67611

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 6761 and 6771.

LCM(6761,6771) = 67611 × 31 × 371 × 611
LCM(6761,6771) = 45778731