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What is the Least Common Multiple of 18532 and 18544?

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 18532 and 18544 is 85914352.

LCM(18532,18544) = 85914352

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Least Common Multiple of 18532 and 18544 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18532 and 18544, than apply into the LCM equation.

GCF(18532,18544) = 4
LCM(18532,18544) = ( 18532 × 18544) / 4
LCM(18532,18544) = 343657408 / 4
LCM(18532,18544) = 85914352

Least Common Multiple (LCM) of 18532 and 18544 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18532 and 18544. First we will calculate the prime factors of 18532 and 18544.

Prime Factorization of 18532

Prime factors of 18532 are 2, 41, 113. Prime factorization of 18532 in exponential form is:

18532 = 22 × 411 × 1131

Prime Factorization of 18544

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

18544 = 24 × 191 × 611

Now multiplying the highest exponent prime factors to calculate the LCM of 18532 and 18544.

LCM(18532,18544) = 24 × 411 × 1131 × 191 × 611
LCM(18532,18544) = 85914352