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What is the Least Common Multiple of 38338 and 38351?

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 38338 and 38351 is 1470300638.

LCM(38338,38351) = 1470300638

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Least Common Multiple of 38338 and 38351 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38338 and 38351, than apply into the LCM equation.

GCF(38338,38351) = 1
LCM(38338,38351) = ( 38338 × 38351) / 1
LCM(38338,38351) = 1470300638 / 1
LCM(38338,38351) = 1470300638

Least Common Multiple (LCM) of 38338 and 38351 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38338 and 38351. First we will calculate the prime factors of 38338 and 38351.

Prime Factorization of 38338

Prime factors of 38338 are 2, 29, 661. Prime factorization of 38338 in exponential form is:

38338 = 21 × 291 × 6611

Prime Factorization of 38351

Prime factors of 38351 are 38351. Prime factorization of 38351 in exponential form is:

38351 = 383511

Now multiplying the highest exponent prime factors to calculate the LCM of 38338 and 38351.

LCM(38338,38351) = 21 × 291 × 6611 × 383511
LCM(38338,38351) = 1470300638