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What is the Least Common Multiple of 38066 and 38081?

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 38066 and 38081 is 1449591346.

LCM(38066,38081) = 1449591346

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Least Common Multiple of 38066 and 38081 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38066 and 38081, than apply into the LCM equation.

GCF(38066,38081) = 1
LCM(38066,38081) = ( 38066 × 38081) / 1
LCM(38066,38081) = 1449591346 / 1
LCM(38066,38081) = 1449591346

Least Common Multiple (LCM) of 38066 and 38081 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38066 and 38081. First we will calculate the prime factors of 38066 and 38081.

Prime Factorization of 38066

Prime factors of 38066 are 2, 7, 2719. Prime factorization of 38066 in exponential form is:

38066 = 21 × 71 × 27191

Prime Factorization of 38081

Prime factors of 38081 are 113, 337. Prime factorization of 38081 in exponential form is:

38081 = 1131 × 3371

Now multiplying the highest exponent prime factors to calculate the LCM of 38066 and 38081.

LCM(38066,38081) = 21 × 71 × 27191 × 1131 × 3371
LCM(38066,38081) = 1449591346