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What is the Least Common Multiple of 38944 and 38963?

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 38944 and 38963 is 1517375072.

LCM(38944,38963) = 1517375072

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Least Common Multiple of 38944 and 38963 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38944 and 38963, than apply into the LCM equation.

GCF(38944,38963) = 1
LCM(38944,38963) = ( 38944 × 38963) / 1
LCM(38944,38963) = 1517375072 / 1
LCM(38944,38963) = 1517375072

Least Common Multiple (LCM) of 38944 and 38963 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38944 and 38963. First we will calculate the prime factors of 38944 and 38963.

Prime Factorization of 38944

Prime factors of 38944 are 2, 1217. Prime factorization of 38944 in exponential form is:

38944 = 25 × 12171

Prime Factorization of 38963

Prime factors of 38963 are 47, 829. Prime factorization of 38963 in exponential form is:

38963 = 471 × 8291

Now multiplying the highest exponent prime factors to calculate the LCM of 38944 and 38963.

LCM(38944,38963) = 25 × 12171 × 471 × 8291
LCM(38944,38963) = 1517375072