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What is the Least Common Multiple of 22367 and 22386?

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 22367 and 22386 is 500707662.

LCM(22367,22386) = 500707662

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Least Common Multiple of 22367 and 22386 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22367 and 22386, than apply into the LCM equation.

GCF(22367,22386) = 1
LCM(22367,22386) = ( 22367 × 22386) / 1
LCM(22367,22386) = 500707662 / 1
LCM(22367,22386) = 500707662

Least Common Multiple (LCM) of 22367 and 22386 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22367 and 22386. First we will calculate the prime factors of 22367 and 22386.

Prime Factorization of 22367

Prime factors of 22367 are 22367. Prime factorization of 22367 in exponential form is:

22367 = 223671

Prime Factorization of 22386

Prime factors of 22386 are 2, 3, 7, 13, 41. Prime factorization of 22386 in exponential form is:

22386 = 21 × 31 × 71 × 131 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 22367 and 22386.

LCM(22367,22386) = 223671 × 21 × 31 × 71 × 131 × 411
LCM(22367,22386) = 500707662