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What is the Least Common Multiple of 38250 and 38261?

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 38250 and 38261 is 1463483250.

LCM(38250,38261) = 1463483250

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Least Common Multiple of 38250 and 38261 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38250 and 38261, than apply into the LCM equation.

GCF(38250,38261) = 1
LCM(38250,38261) = ( 38250 × 38261) / 1
LCM(38250,38261) = 1463483250 / 1
LCM(38250,38261) = 1463483250

Least Common Multiple (LCM) of 38250 and 38261 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38250 and 38261. First we will calculate the prime factors of 38250 and 38261.

Prime Factorization of 38250

Prime factors of 38250 are 2, 3, 5, 17. Prime factorization of 38250 in exponential form is:

38250 = 21 × 32 × 53 × 171

Prime Factorization of 38261

Prime factors of 38261 are 38261. Prime factorization of 38261 in exponential form is:

38261 = 382611

Now multiplying the highest exponent prime factors to calculate the LCM of 38250 and 38261.

LCM(38250,38261) = 21 × 32 × 53 × 171 × 382611
LCM(38250,38261) = 1463483250