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What is the Least Common Multiple of 6914 and 6926?

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 6914 and 6926 is 23943182.

LCM(6914,6926) = 23943182

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Least Common Multiple of 6914 and 6926 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6914 and 6926, than apply into the LCM equation.

GCF(6914,6926) = 2
LCM(6914,6926) = ( 6914 × 6926) / 2
LCM(6914,6926) = 47886364 / 2
LCM(6914,6926) = 23943182

Least Common Multiple (LCM) of 6914 and 6926 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6914 and 6926. First we will calculate the prime factors of 6914 and 6926.

Prime Factorization of 6914

Prime factors of 6914 are 2, 3457. Prime factorization of 6914 in exponential form is:

6914 = 21 × 34571

Prime Factorization of 6926

Prime factors of 6926 are 2, 3463. Prime factorization of 6926 in exponential form is:

6926 = 21 × 34631

Now multiplying the highest exponent prime factors to calculate the LCM of 6914 and 6926.

LCM(6914,6926) = 21 × 34571 × 34631
LCM(6914,6926) = 23943182