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What is the Least Common Multiple of 6761 and 6767?

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 6767 is 45751687.

LCM(6761,6767) = 45751687

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Least Common Multiple of 6761 and 6767 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 6767, than apply into the LCM equation.

GCF(6761,6767) = 1
LCM(6761,6767) = ( 6761 × 6767) / 1
LCM(6761,6767) = 45751687 / 1
LCM(6761,6767) = 45751687

Least Common Multiple (LCM) of 6761 and 6767 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6761 and 6767. First we will calculate the prime factors of 6761 and 6767.

Prime Factorization of 6761

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

6761 = 67611

Prime Factorization of 6767

Prime factors of 6767 are 67, 101. Prime factorization of 6767 in exponential form is:

6767 = 671 × 1011

Now multiplying the highest exponent prime factors to calculate the LCM of 6761 and 6767.

LCM(6761,6767) = 67611 × 671 × 1011
LCM(6761,6767) = 45751687