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What is the Least Common Multiple of 22192 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 22192 and 22206 is 246397776.

LCM(22192,22206) = 246397776

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Least Common Multiple of 22192 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 22192 and 22206, than apply into the LCM equation.

GCF(22192,22206) = 2
LCM(22192,22206) = ( 22192 × 22206) / 2
LCM(22192,22206) = 492795552 / 2
LCM(22192,22206) = 246397776

Least Common Multiple (LCM) of 22192 and 22206 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22192 and 22206. First we will calculate the prime factors of 22192 and 22206.

Prime Factorization of 22192

Prime factors of 22192 are 2, 19, 73. Prime factorization of 22192 in exponential form is:

22192 = 24 × 191 × 731

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 22192 and 22206.

LCM(22192,22206) = 24 × 191 × 731 × 31 × 37011
LCM(22192,22206) = 246397776