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What is the Least Common Multiple of 3457 and 3466?

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 3457 and 3466 is 11981962.

LCM(3457,3466) = 11981962

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Least Common Multiple of 3457 and 3466 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3457 and 3466, than apply into the LCM equation.

GCF(3457,3466) = 1
LCM(3457,3466) = ( 3457 × 3466) / 1
LCM(3457,3466) = 11981962 / 1
LCM(3457,3466) = 11981962

Least Common Multiple (LCM) of 3457 and 3466 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3457 and 3466. First we will calculate the prime factors of 3457 and 3466.

Prime Factorization of 3457

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

3457 = 34571

Prime Factorization of 3466

Prime factors of 3466 are 2, 1733. Prime factorization of 3466 in exponential form is:

3466 = 21 × 17331

Now multiplying the highest exponent prime factors to calculate the LCM of 3457 and 3466.

LCM(3457,3466) = 34571 × 21 × 17331
LCM(3457,3466) = 11981962