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What is the Least Common Multiple of 38861 and 38869?

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 38861 and 38869 is 1510488209.

LCM(38861,38869) = 1510488209

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Least Common Multiple of 38861 and 38869 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38861 and 38869, than apply into the LCM equation.

GCF(38861,38869) = 1
LCM(38861,38869) = ( 38861 × 38869) / 1
LCM(38861,38869) = 1510488209 / 1
LCM(38861,38869) = 1510488209

Least Common Multiple (LCM) of 38861 and 38869 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38861 and 38869. First we will calculate the prime factors of 38861 and 38869.

Prime Factorization of 38861

Prime factors of 38861 are 38861. Prime factorization of 38861 in exponential form is:

38861 = 388611

Prime Factorization of 38869

Prime factors of 38869 are 47, 827. Prime factorization of 38869 in exponential form is:

38869 = 471 × 8271

Now multiplying the highest exponent prime factors to calculate the LCM of 38861 and 38869.

LCM(38861,38869) = 388611 × 471 × 8271
LCM(38861,38869) = 1510488209