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What is the Least Common Multiple of 3412 and 3425?

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 3412 and 3425 is 11686100.

LCM(3412,3425) = 11686100

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Least Common Multiple of 3412 and 3425 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3412 and 3425, than apply into the LCM equation.

GCF(3412,3425) = 1
LCM(3412,3425) = ( 3412 × 3425) / 1
LCM(3412,3425) = 11686100 / 1
LCM(3412,3425) = 11686100

Least Common Multiple (LCM) of 3412 and 3425 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3412 and 3425. First we will calculate the prime factors of 3412 and 3425.

Prime Factorization of 3412

Prime factors of 3412 are 2, 853. Prime factorization of 3412 in exponential form is:

3412 = 22 × 8531

Prime Factorization of 3425

Prime factors of 3425 are 5, 137. Prime factorization of 3425 in exponential form is:

3425 = 52 × 1371

Now multiplying the highest exponent prime factors to calculate the LCM of 3412 and 3425.

LCM(3412,3425) = 22 × 8531 × 52 × 1371
LCM(3412,3425) = 11686100