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What is the Least Common Multiple of 6743 and 6759?

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 6743 and 6759 is 45575937.

LCM(6743,6759) = 45575937

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Least Common Multiple of 6743 and 6759 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6743 and 6759, than apply into the LCM equation.

GCF(6743,6759) = 1
LCM(6743,6759) = ( 6743 × 6759) / 1
LCM(6743,6759) = 45575937 / 1
LCM(6743,6759) = 45575937

Least Common Multiple (LCM) of 6743 and 6759 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6743 and 6759. First we will calculate the prime factors of 6743 and 6759.

Prime Factorization of 6743

Prime factors of 6743 are 11, 613. Prime factorization of 6743 in exponential form is:

6743 = 111 × 6131

Prime Factorization of 6759

Prime factors of 6759 are 3, 751. Prime factorization of 6759 in exponential form is:

6759 = 32 × 7511

Now multiplying the highest exponent prime factors to calculate the LCM of 6743 and 6759.

LCM(6743,6759) = 111 × 6131 × 32 × 7511
LCM(6743,6759) = 45575937