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What is the Least Common Multiple of 18422 and 18442?

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 18422 and 18442 is 169869262.

LCM(18422,18442) = 169869262

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Least Common Multiple of 18422 and 18442 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18422 and 18442, than apply into the LCM equation.

GCF(18422,18442) = 2
LCM(18422,18442) = ( 18422 × 18442) / 2
LCM(18422,18442) = 339738524 / 2
LCM(18422,18442) = 169869262

Least Common Multiple (LCM) of 18422 and 18442 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18422 and 18442. First we will calculate the prime factors of 18422 and 18442.

Prime Factorization of 18422

Prime factors of 18422 are 2, 61, 151. Prime factorization of 18422 in exponential form is:

18422 = 21 × 611 × 1511

Prime Factorization of 18442

Prime factors of 18442 are 2, 9221. Prime factorization of 18442 in exponential form is:

18442 = 21 × 92211

Now multiplying the highest exponent prime factors to calculate the LCM of 18422 and 18442.

LCM(18422,18442) = 21 × 611 × 1511 × 92211
LCM(18422,18442) = 169869262