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What is the Least Common Multiple of 6743 and 6750?

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 6750 is 45515250.

LCM(6743,6750) = 45515250

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Least Common Multiple of 6743 and 6750 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 6750, than apply into the LCM equation.

GCF(6743,6750) = 1
LCM(6743,6750) = ( 6743 × 6750) / 1
LCM(6743,6750) = 45515250 / 1
LCM(6743,6750) = 45515250

Least Common Multiple (LCM) of 6743 and 6750 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6743 and 6750. First we will calculate the prime factors of 6743 and 6750.

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 6750

Prime factors of 6750 are 2, 3, 5. Prime factorization of 6750 in exponential form is:

6750 = 21 × 33 × 53

Now multiplying the highest exponent prime factors to calculate the LCM of 6743 and 6750.

LCM(6743,6750) = 111 × 6131 × 21 × 33 × 53
LCM(6743,6750) = 45515250