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What is the Least Common Multiple of 20183 and 20201?

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 20183 and 20201 is 407716783.

LCM(20183,20201) = 407716783

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Least Common Multiple of 20183 and 20201 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20183 and 20201, than apply into the LCM equation.

GCF(20183,20201) = 1
LCM(20183,20201) = ( 20183 × 20201) / 1
LCM(20183,20201) = 407716783 / 1
LCM(20183,20201) = 407716783

Least Common Multiple (LCM) of 20183 and 20201 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20183 and 20201. First we will calculate the prime factors of 20183 and 20201.

Prime Factorization of 20183

Prime factors of 20183 are 20183. Prime factorization of 20183 in exponential form is:

20183 = 201831

Prime Factorization of 20201

Prime factors of 20201 are 20201. Prime factorization of 20201 in exponential form is:

20201 = 202011

Now multiplying the highest exponent prime factors to calculate the LCM of 20183 and 20201.

LCM(20183,20201) = 201831 × 202011
LCM(20183,20201) = 407716783