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What is the Least Common Multiple of 22186 and 22206?

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 22186 and 22206 is 246331158.

LCM(22186,22206) = 246331158

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Least Common Multiple of 22186 and 22206 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22186 and 22206, than apply into the LCM equation.

GCF(22186,22206) = 2
LCM(22186,22206) = ( 22186 × 22206) / 2
LCM(22186,22206) = 492662316 / 2
LCM(22186,22206) = 246331158

Least Common Multiple (LCM) of 22186 and 22206 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22186 and 22206. First we will calculate the prime factors of 22186 and 22206.

Prime Factorization of 22186

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

22186 = 21 × 110931

Prime Factorization of 22206

Prime factors of 22206 are 2, 3, 3701. Prime factorization of 22206 in exponential form is:

22206 = 21 × 31 × 37011

Now multiplying the highest exponent prime factors to calculate the LCM of 22186 and 22206.

LCM(22186,22206) = 21 × 110931 × 31 × 37011
LCM(22186,22206) = 246331158