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What is the Least Common Multiple of 38533 and 38538?

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 38533 and 38538 is 1484984754.

LCM(38533,38538) = 1484984754

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Least Common Multiple of 38533 and 38538 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38533 and 38538, than apply into the LCM equation.

GCF(38533,38538) = 1
LCM(38533,38538) = ( 38533 × 38538) / 1
LCM(38533,38538) = 1484984754 / 1
LCM(38533,38538) = 1484984754

Least Common Multiple (LCM) of 38533 and 38538 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38533 and 38538. First we will calculate the prime factors of 38533 and 38538.

Prime Factorization of 38533

Prime factors of 38533 are 11, 31, 113. Prime factorization of 38533 in exponential form is:

38533 = 111 × 311 × 1131

Prime Factorization of 38538

Prime factors of 38538 are 2, 3, 2141. Prime factorization of 38538 in exponential form is:

38538 = 21 × 32 × 21411

Now multiplying the highest exponent prime factors to calculate the LCM of 38533 and 38538.

LCM(38533,38538) = 111 × 311 × 1131 × 21 × 32 × 21411
LCM(38533,38538) = 1484984754