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What is the Least Common Multiple of 38873 and 38877?

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 38873 and 38877 is 1511265621.

LCM(38873,38877) = 1511265621

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Least Common Multiple of 38873 and 38877 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38873 and 38877, than apply into the LCM equation.

GCF(38873,38877) = 1
LCM(38873,38877) = ( 38873 × 38877) / 1
LCM(38873,38877) = 1511265621 / 1
LCM(38873,38877) = 1511265621

Least Common Multiple (LCM) of 38873 and 38877 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38873 and 38877. First we will calculate the prime factors of 38873 and 38877.

Prime Factorization of 38873

Prime factors of 38873 are 38873. Prime factorization of 38873 in exponential form is:

38873 = 388731

Prime Factorization of 38877

Prime factors of 38877 are 3, 12959. Prime factorization of 38877 in exponential form is:

38877 = 31 × 129591

Now multiplying the highest exponent prime factors to calculate the LCM of 38873 and 38877.

LCM(38873,38877) = 388731 × 31 × 129591
LCM(38873,38877) = 1511265621