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What is the Least Common Multiple of 38884 and 38903?

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 38884 and 38903 is 1512704252.

LCM(38884,38903) = 1512704252

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Least Common Multiple of 38884 and 38903 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38884 and 38903, than apply into the LCM equation.

GCF(38884,38903) = 1
LCM(38884,38903) = ( 38884 × 38903) / 1
LCM(38884,38903) = 1512704252 / 1
LCM(38884,38903) = 1512704252

Least Common Multiple (LCM) of 38884 and 38903 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38884 and 38903. First we will calculate the prime factors of 38884 and 38903.

Prime Factorization of 38884

Prime factors of 38884 are 2, 9721. Prime factorization of 38884 in exponential form is:

38884 = 22 × 97211

Prime Factorization of 38903

Prime factors of 38903 are 38903. Prime factorization of 38903 in exponential form is:

38903 = 389031

Now multiplying the highest exponent prime factors to calculate the LCM of 38884 and 38903.

LCM(38884,38903) = 22 × 97211 × 389031
LCM(38884,38903) = 1512704252