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What is the Least Common Multiple of 39481 and 39485?

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 39481 and 39485 is 1558907285.

LCM(39481,39485) = 1558907285

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Least Common Multiple of 39481 and 39485 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39481 and 39485, than apply into the LCM equation.

GCF(39481,39485) = 1
LCM(39481,39485) = ( 39481 × 39485) / 1
LCM(39481,39485) = 1558907285 / 1
LCM(39481,39485) = 1558907285

Least Common Multiple (LCM) of 39481 and 39485 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39481 and 39485. First we will calculate the prime factors of 39481 and 39485.

Prime Factorization of 39481

Prime factors of 39481 are 13, 3037. Prime factorization of 39481 in exponential form is:

39481 = 131 × 30371

Prime Factorization of 39485

Prime factors of 39485 are 5, 53, 149. Prime factorization of 39485 in exponential form is:

39485 = 51 × 531 × 1491

Now multiplying the highest exponent prime factors to calculate the LCM of 39481 and 39485.

LCM(39481,39485) = 131 × 30371 × 51 × 531 × 1491
LCM(39481,39485) = 1558907285