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What is the Least Common Multiple of 38799 and 38803?

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 38799 and 38803 is 1505517597.

LCM(38799,38803) = 1505517597

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Least Common Multiple of 38799 and 38803 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38799 and 38803, than apply into the LCM equation.

GCF(38799,38803) = 1
LCM(38799,38803) = ( 38799 × 38803) / 1
LCM(38799,38803) = 1505517597 / 1
LCM(38799,38803) = 1505517597

Least Common Multiple (LCM) of 38799 and 38803 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38799 and 38803. First we will calculate the prime factors of 38799 and 38803.

Prime Factorization of 38799

Prime factors of 38799 are 3, 479. Prime factorization of 38799 in exponential form is:

38799 = 34 × 4791

Prime Factorization of 38803

Prime factors of 38803 are 38803. Prime factorization of 38803 in exponential form is:

38803 = 388031

Now multiplying the highest exponent prime factors to calculate the LCM of 38799 and 38803.

LCM(38799,38803) = 34 × 4791 × 388031
LCM(38799,38803) = 1505517597