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What is the Least Common Multiple of 22169 and 22183?

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 22169 and 22183 is 70253561.

LCM(22169,22183) = 70253561

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Least Common Multiple of 22169 and 22183 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22169 and 22183, than apply into the LCM equation.

GCF(22169,22183) = 7
LCM(22169,22183) = ( 22169 × 22183) / 7
LCM(22169,22183) = 491774927 / 7
LCM(22169,22183) = 70253561

Least Common Multiple (LCM) of 22169 and 22183 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22169 and 22183. First we will calculate the prime factors of 22169 and 22183.

Prime Factorization of 22169

Prime factors of 22169 are 7, 3167. Prime factorization of 22169 in exponential form is:

22169 = 71 × 31671

Prime Factorization of 22183

Prime factors of 22183 are 7, 3169. Prime factorization of 22183 in exponential form is:

22183 = 71 × 31691

Now multiplying the highest exponent prime factors to calculate the LCM of 22169 and 22183.

LCM(22169,22183) = 71 × 31671 × 31691
LCM(22169,22183) = 70253561