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What is the Least Common Multiple of 6716 and 6734?

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 6716 and 6734 is 22612772.

LCM(6716,6734) = 22612772

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Least Common Multiple of 6716 and 6734 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6716 and 6734, than apply into the LCM equation.

GCF(6716,6734) = 2
LCM(6716,6734) = ( 6716 × 6734) / 2
LCM(6716,6734) = 45225544 / 2
LCM(6716,6734) = 22612772

Least Common Multiple (LCM) of 6716 and 6734 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6716 and 6734. First we will calculate the prime factors of 6716 and 6734.

Prime Factorization of 6716

Prime factors of 6716 are 2, 23, 73. Prime factorization of 6716 in exponential form is:

6716 = 22 × 231 × 731

Prime Factorization of 6734

Prime factors of 6734 are 2, 7, 13, 37. Prime factorization of 6734 in exponential form is:

6734 = 21 × 71 × 131 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 6716 and 6734.

LCM(6716,6734) = 22 × 231 × 731 × 71 × 131 × 371
LCM(6716,6734) = 22612772