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What is the Least Common Multiple of 20062 and 20081?

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 20062 and 20081 is 402865022.

LCM(20062,20081) = 402865022

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Least Common Multiple of 20062 and 20081 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20062 and 20081, than apply into the LCM equation.

GCF(20062,20081) = 1
LCM(20062,20081) = ( 20062 × 20081) / 1
LCM(20062,20081) = 402865022 / 1
LCM(20062,20081) = 402865022

Least Common Multiple (LCM) of 20062 and 20081 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20062 and 20081. First we will calculate the prime factors of 20062 and 20081.

Prime Factorization of 20062

Prime factors of 20062 are 2, 7, 1433. Prime factorization of 20062 in exponential form is:

20062 = 21 × 71 × 14331

Prime Factorization of 20081

Prime factors of 20081 are 43, 467. Prime factorization of 20081 in exponential form is:

20081 = 431 × 4671

Now multiplying the highest exponent prime factors to calculate the LCM of 20062 and 20081.

LCM(20062,20081) = 21 × 71 × 14331 × 431 × 4671
LCM(20062,20081) = 402865022