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What is the Least Common Multiple of 66169 and 66189?

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 66169 and 66189 is 4379659941.

LCM(66169,66189) = 4379659941

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Least Common Multiple of 66169 and 66189 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66169 and 66189, than apply into the LCM equation.

GCF(66169,66189) = 1
LCM(66169,66189) = ( 66169 × 66189) / 1
LCM(66169,66189) = 4379659941 / 1
LCM(66169,66189) = 4379659941

Least Common Multiple (LCM) of 66169 and 66189 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66169 and 66189. First we will calculate the prime factors of 66169 and 66189.

Prime Factorization of 66169

Prime factors of 66169 are 66169. Prime factorization of 66169 in exponential form is:

66169 = 661691

Prime Factorization of 66189

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

66189 = 31 × 220631

Now multiplying the highest exponent prime factors to calculate the LCM of 66169 and 66189.

LCM(66169,66189) = 661691 × 31 × 220631
LCM(66169,66189) = 4379659941