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What is the Least Common Multiple of 22182 and 22186?

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 22182 and 22186 is 246064926.

LCM(22182,22186) = 246064926

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Least Common Multiple of 22182 and 22186 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22182 and 22186, than apply into the LCM equation.

GCF(22182,22186) = 2
LCM(22182,22186) = ( 22182 × 22186) / 2
LCM(22182,22186) = 492129852 / 2
LCM(22182,22186) = 246064926

Least Common Multiple (LCM) of 22182 and 22186 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22182 and 22186. First we will calculate the prime factors of 22182 and 22186.

Prime Factorization of 22182

Prime factors of 22182 are 2, 3, 3697. Prime factorization of 22182 in exponential form is:

22182 = 21 × 31 × 36971

Prime Factorization of 22186

Prime factors of 22186 are 2, 11093. Prime factorization of 22186 in exponential form is:

22186 = 21 × 110931

Now multiplying the highest exponent prime factors to calculate the LCM of 22182 and 22186.

LCM(22182,22186) = 21 × 31 × 36971 × 110931
LCM(22182,22186) = 246064926