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What is the Least Common Multiple of 3425 and 3445?

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 3425 and 3445 is 2359825.

LCM(3425,3445) = 2359825

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Least Common Multiple of 3425 and 3445 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3425 and 3445, than apply into the LCM equation.

GCF(3425,3445) = 5
LCM(3425,3445) = ( 3425 × 3445) / 5
LCM(3425,3445) = 11799125 / 5
LCM(3425,3445) = 2359825

Least Common Multiple (LCM) of 3425 and 3445 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3425 and 3445. First we will calculate the prime factors of 3425 and 3445.

Prime Factorization of 3425

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

3425 = 52 × 1371

Prime Factorization of 3445

Prime factors of 3445 are 5, 13, 53. Prime factorization of 3445 in exponential form is:

3445 = 51 × 131 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 3425 and 3445.

LCM(3425,3445) = 52 × 1371 × 131 × 531
LCM(3425,3445) = 2359825