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What is the Least Common Multiple of 6917 and 6934?

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 6917 and 6934 is 47962478.

LCM(6917,6934) = 47962478

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Least Common Multiple of 6917 and 6934 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6917 and 6934, than apply into the LCM equation.

GCF(6917,6934) = 1
LCM(6917,6934) = ( 6917 × 6934) / 1
LCM(6917,6934) = 47962478 / 1
LCM(6917,6934) = 47962478

Least Common Multiple (LCM) of 6917 and 6934 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6917 and 6934. First we will calculate the prime factors of 6917 and 6934.

Prime Factorization of 6917

Prime factors of 6917 are 6917. Prime factorization of 6917 in exponential form is:

6917 = 69171

Prime Factorization of 6934

Prime factors of 6934 are 2, 3467. Prime factorization of 6934 in exponential form is:

6934 = 21 × 34671

Now multiplying the highest exponent prime factors to calculate the LCM of 6917 and 6934.

LCM(6917,6934) = 69171 × 21 × 34671
LCM(6917,6934) = 47962478