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What is the Least Common Multiple of 18344 and 18362?

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 18344 and 18362 is 168416264.

LCM(18344,18362) = 168416264

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Least Common Multiple of 18344 and 18362 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18344 and 18362, than apply into the LCM equation.

GCF(18344,18362) = 2
LCM(18344,18362) = ( 18344 × 18362) / 2
LCM(18344,18362) = 336832528 / 2
LCM(18344,18362) = 168416264

Least Common Multiple (LCM) of 18344 and 18362 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18344 and 18362. First we will calculate the prime factors of 18344 and 18362.

Prime Factorization of 18344

Prime factors of 18344 are 2, 2293. Prime factorization of 18344 in exponential form is:

18344 = 23 × 22931

Prime Factorization of 18362

Prime factors of 18362 are 2, 9181. Prime factorization of 18362 in exponential form is:

18362 = 21 × 91811

Now multiplying the highest exponent prime factors to calculate the LCM of 18344 and 18362.

LCM(18344,18362) = 23 × 22931 × 91811
LCM(18344,18362) = 168416264