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What is the Least Common Multiple of 42865 and 42882?

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 42865 and 42882 is 1838136930.

LCM(42865,42882) = 1838136930

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Least Common Multiple of 42865 and 42882 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42865 and 42882, than apply into the LCM equation.

GCF(42865,42882) = 1
LCM(42865,42882) = ( 42865 × 42882) / 1
LCM(42865,42882) = 1838136930 / 1
LCM(42865,42882) = 1838136930

Least Common Multiple (LCM) of 42865 and 42882 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42865 and 42882. First we will calculate the prime factors of 42865 and 42882.

Prime Factorization of 42865

Prime factors of 42865 are 5, 8573. Prime factorization of 42865 in exponential form is:

42865 = 51 × 85731

Prime Factorization of 42882

Prime factors of 42882 are 2, 3, 7, 1021. Prime factorization of 42882 in exponential form is:

42882 = 21 × 31 × 71 × 10211

Now multiplying the highest exponent prime factors to calculate the LCM of 42865 and 42882.

LCM(42865,42882) = 51 × 85731 × 21 × 31 × 71 × 10211
LCM(42865,42882) = 1838136930