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What is the Least Common Multiple of 38531 and 38549?

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 38531 and 38549 is 1485331519.

LCM(38531,38549) = 1485331519

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Least Common Multiple of 38531 and 38549 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38531 and 38549, than apply into the LCM equation.

GCF(38531,38549) = 1
LCM(38531,38549) = ( 38531 × 38549) / 1
LCM(38531,38549) = 1485331519 / 1
LCM(38531,38549) = 1485331519

Least Common Multiple (LCM) of 38531 and 38549 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38531 and 38549. First we will calculate the prime factors of 38531 and 38549.

Prime Factorization of 38531

Prime factors of 38531 are 53, 727. Prime factorization of 38531 in exponential form is:

38531 = 531 × 7271

Prime Factorization of 38549

Prime factors of 38549 are 7, 5507. Prime factorization of 38549 in exponential form is:

38549 = 71 × 55071

Now multiplying the highest exponent prime factors to calculate the LCM of 38531 and 38549.

LCM(38531,38549) = 531 × 7271 × 71 × 55071
LCM(38531,38549) = 1485331519