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What is the Least Common Multiple of 38531 and 38542?

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 38542 is 1485061802.

LCM(38531,38542) = 1485061802

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Least Common Multiple of 38531 and 38542 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 38542, than apply into the LCM equation.

GCF(38531,38542) = 1
LCM(38531,38542) = ( 38531 × 38542) / 1
LCM(38531,38542) = 1485061802 / 1
LCM(38531,38542) = 1485061802

Least Common Multiple (LCM) of 38531 and 38542 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38531 and 38542. First we will calculate the prime factors of 38531 and 38542.

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 38542

Prime factors of 38542 are 2, 7, 2753. Prime factorization of 38542 in exponential form is:

38542 = 21 × 71 × 27531

Now multiplying the highest exponent prime factors to calculate the LCM of 38531 and 38542.

LCM(38531,38542) = 531 × 7271 × 21 × 71 × 27531
LCM(38531,38542) = 1485061802