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What is the Least Common Multiple of 38842 and 38851?

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 38842 and 38851 is 1509050542.

LCM(38842,38851) = 1509050542

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Least Common Multiple of 38842 and 38851 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38842 and 38851, than apply into the LCM equation.

GCF(38842,38851) = 1
LCM(38842,38851) = ( 38842 × 38851) / 1
LCM(38842,38851) = 1509050542 / 1
LCM(38842,38851) = 1509050542

Least Common Multiple (LCM) of 38842 and 38851 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38842 and 38851. First we will calculate the prime factors of 38842 and 38851.

Prime Factorization of 38842

Prime factors of 38842 are 2, 19421. Prime factorization of 38842 in exponential form is:

38842 = 21 × 194211

Prime Factorization of 38851

Prime factors of 38851 are 38851. Prime factorization of 38851 in exponential form is:

38851 = 388511

Now multiplying the highest exponent prime factors to calculate the LCM of 38842 and 38851.

LCM(38842,38851) = 21 × 194211 × 388511
LCM(38842,38851) = 1509050542