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What is the Least Common Multiple of 66189 and 66200?

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 66189 and 66200 is 4381711800.

LCM(66189,66200) = 4381711800

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Least Common Multiple of 66189 and 66200 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66189 and 66200, than apply into the LCM equation.

GCF(66189,66200) = 1
LCM(66189,66200) = ( 66189 × 66200) / 1
LCM(66189,66200) = 4381711800 / 1
LCM(66189,66200) = 4381711800

Least Common Multiple (LCM) of 66189 and 66200 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66189 and 66200. First we will calculate the prime factors of 66189 and 66200.

Prime Factorization of 66189

Prime factors of 66189 are 3, 22063. Prime factorization of 66189 in exponential form is:

66189 = 31 × 220631

Prime Factorization of 66200

Prime factors of 66200 are 2, 5, 331. Prime factorization of 66200 in exponential form is:

66200 = 23 × 52 × 3311

Now multiplying the highest exponent prime factors to calculate the LCM of 66189 and 66200.

LCM(66189,66200) = 31 × 220631 × 23 × 52 × 3311
LCM(66189,66200) = 4381711800