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What is the Least Common Multiple of 39416 and 39431?

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 39416 and 39431 is 1554212296.

LCM(39416,39431) = 1554212296

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Least Common Multiple of 39416 and 39431 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39416 and 39431, than apply into the LCM equation.

GCF(39416,39431) = 1
LCM(39416,39431) = ( 39416 × 39431) / 1
LCM(39416,39431) = 1554212296 / 1
LCM(39416,39431) = 1554212296

Least Common Multiple (LCM) of 39416 and 39431 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39416 and 39431. First we will calculate the prime factors of 39416 and 39431.

Prime Factorization of 39416

Prime factors of 39416 are 2, 13, 379. Prime factorization of 39416 in exponential form is:

39416 = 23 × 131 × 3791

Prime Factorization of 39431

Prime factors of 39431 are 7, 43, 131. Prime factorization of 39431 in exponential form is:

39431 = 71 × 431 × 1311

Now multiplying the highest exponent prime factors to calculate the LCM of 39416 and 39431.

LCM(39416,39431) = 23 × 131 × 3791 × 71 × 431 × 1311
LCM(39416,39431) = 1554212296