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What is the Least Common Multiple of 38063 and 38068?

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 38063 and 38068 is 1448982284.

LCM(38063,38068) = 1448982284

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Least Common Multiple of 38063 and 38068 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38063 and 38068, than apply into the LCM equation.

GCF(38063,38068) = 1
LCM(38063,38068) = ( 38063 × 38068) / 1
LCM(38063,38068) = 1448982284 / 1
LCM(38063,38068) = 1448982284

Least Common Multiple (LCM) of 38063 and 38068 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38063 and 38068. First we will calculate the prime factors of 38063 and 38068.

Prime Factorization of 38063

Prime factors of 38063 are 17, 2239. Prime factorization of 38063 in exponential form is:

38063 = 171 × 22391

Prime Factorization of 38068

Prime factors of 38068 are 2, 31, 307. Prime factorization of 38068 in exponential form is:

38068 = 22 × 311 × 3071

Now multiplying the highest exponent prime factors to calculate the LCM of 38063 and 38068.

LCM(38063,38068) = 171 × 22391 × 22 × 311 × 3071
LCM(38063,38068) = 1448982284