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What is the Least Common Multiple of 38204 and 38211?

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 38204 and 38211 is 1459813044.

LCM(38204,38211) = 1459813044

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Least Common Multiple of 38204 and 38211 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38204 and 38211, than apply into the LCM equation.

GCF(38204,38211) = 1
LCM(38204,38211) = ( 38204 × 38211) / 1
LCM(38204,38211) = 1459813044 / 1
LCM(38204,38211) = 1459813044

Least Common Multiple (LCM) of 38204 and 38211 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38204 and 38211. First we will calculate the prime factors of 38204 and 38211.

Prime Factorization of 38204

Prime factors of 38204 are 2, 9551. Prime factorization of 38204 in exponential form is:

38204 = 22 × 95511

Prime Factorization of 38211

Prime factors of 38211 are 3, 47, 271. Prime factorization of 38211 in exponential form is:

38211 = 31 × 471 × 2711

Now multiplying the highest exponent prime factors to calculate the LCM of 38204 and 38211.

LCM(38204,38211) = 22 × 95511 × 31 × 471 × 2711
LCM(38204,38211) = 1459813044