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What is the Least Common Multiple of 18544 and 18554?

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 18544 and 18554 is 172032688.

LCM(18544,18554) = 172032688

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Least Common Multiple of 18544 and 18554 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18544 and 18554, than apply into the LCM equation.

GCF(18544,18554) = 2
LCM(18544,18554) = ( 18544 × 18554) / 2
LCM(18544,18554) = 344065376 / 2
LCM(18544,18554) = 172032688

Least Common Multiple (LCM) of 18544 and 18554 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18544 and 18554. First we will calculate the prime factors of 18544 and 18554.

Prime Factorization of 18544

Prime factors of 18544 are 2, 19, 61. Prime factorization of 18544 in exponential form is:

18544 = 24 × 191 × 611

Prime Factorization of 18554

Prime factors of 18554 are 2, 9277. Prime factorization of 18554 in exponential form is:

18554 = 21 × 92771

Now multiplying the highest exponent prime factors to calculate the LCM of 18544 and 18554.

LCM(18544,18554) = 24 × 191 × 611 × 92771
LCM(18544,18554) = 172032688