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What is the Least Common Multiple of 38244 and 38259?

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 38244 and 38259 is 487725732.

LCM(38244,38259) = 487725732

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Least Common Multiple of 38244 and 38259 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38244 and 38259, than apply into the LCM equation.

GCF(38244,38259) = 3
LCM(38244,38259) = ( 38244 × 38259) / 3
LCM(38244,38259) = 1463177196 / 3
LCM(38244,38259) = 487725732

Least Common Multiple (LCM) of 38244 and 38259 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38244 and 38259. First we will calculate the prime factors of 38244 and 38259.

Prime Factorization of 38244

Prime factors of 38244 are 2, 3, 3187. Prime factorization of 38244 in exponential form is:

38244 = 22 × 31 × 31871

Prime Factorization of 38259

Prime factors of 38259 are 3, 13, 109. Prime factorization of 38259 in exponential form is:

38259 = 33 × 131 × 1091

Now multiplying the highest exponent prime factors to calculate the LCM of 38244 and 38259.

LCM(38244,38259) = 22 × 33 × 31871 × 131 × 1091
LCM(38244,38259) = 487725732