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What is the Least Common Multiple of 38069 and 38084?

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 38069 and 38084 is 1449819796.

LCM(38069,38084) = 1449819796

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Least Common Multiple of 38069 and 38084 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38069 and 38084, than apply into the LCM equation.

GCF(38069,38084) = 1
LCM(38069,38084) = ( 38069 × 38084) / 1
LCM(38069,38084) = 1449819796 / 1
LCM(38069,38084) = 1449819796

Least Common Multiple (LCM) of 38069 and 38084 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38069 and 38084. First we will calculate the prime factors of 38069 and 38084.

Prime Factorization of 38069

Prime factors of 38069 are 38069. Prime factorization of 38069 in exponential form is:

38069 = 380691

Prime Factorization of 38084

Prime factors of 38084 are 2, 9521. Prime factorization of 38084 in exponential form is:

38084 = 22 × 95211

Now multiplying the highest exponent prime factors to calculate the LCM of 38069 and 38084.

LCM(38069,38084) = 380691 × 22 × 95211
LCM(38069,38084) = 1449819796