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What is the Least Common Multiple of 38882 and 38886?

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 38882 and 38886 is 755982726.

LCM(38882,38886) = 755982726

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Least Common Multiple of 38882 and 38886 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38882 and 38886, than apply into the LCM equation.

GCF(38882,38886) = 2
LCM(38882,38886) = ( 38882 × 38886) / 2
LCM(38882,38886) = 1511965452 / 2
LCM(38882,38886) = 755982726

Least Common Multiple (LCM) of 38882 and 38886 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38882 and 38886. First we will calculate the prime factors of 38882 and 38886.

Prime Factorization of 38882

Prime factors of 38882 are 2, 19441. Prime factorization of 38882 in exponential form is:

38882 = 21 × 194411

Prime Factorization of 38886

Prime factors of 38886 are 2, 3, 6481. Prime factorization of 38886 in exponential form is:

38886 = 21 × 31 × 64811

Now multiplying the highest exponent prime factors to calculate the LCM of 38882 and 38886.

LCM(38882,38886) = 21 × 194411 × 31 × 64811
LCM(38882,38886) = 755982726