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What is the Least Common Multiple of 38447 and 38455?

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 38447 and 38455 is 1478479385.

LCM(38447,38455) = 1478479385

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Least Common Multiple of 38447 and 38455 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38447 and 38455, than apply into the LCM equation.

GCF(38447,38455) = 1
LCM(38447,38455) = ( 38447 × 38455) / 1
LCM(38447,38455) = 1478479385 / 1
LCM(38447,38455) = 1478479385

Least Common Multiple (LCM) of 38447 and 38455 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38447 and 38455. First we will calculate the prime factors of 38447 and 38455.

Prime Factorization of 38447

Prime factors of 38447 are 38447. Prime factorization of 38447 in exponential form is:

38447 = 384471

Prime Factorization of 38455

Prime factors of 38455 are 5, 7691. Prime factorization of 38455 in exponential form is:

38455 = 51 × 76911

Now multiplying the highest exponent prime factors to calculate the LCM of 38447 and 38455.

LCM(38447,38455) = 384471 × 51 × 76911
LCM(38447,38455) = 1478479385