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What is the Least Common Multiple of 18537 and 18543?

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 18537 and 18543 is 114577197.

LCM(18537,18543) = 114577197

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Least Common Multiple of 18537 and 18543 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18537 and 18543, than apply into the LCM equation.

GCF(18537,18543) = 3
LCM(18537,18543) = ( 18537 × 18543) / 3
LCM(18537,18543) = 343731591 / 3
LCM(18537,18543) = 114577197

Least Common Multiple (LCM) of 18537 and 18543 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18537 and 18543. First we will calculate the prime factors of 18537 and 18543.

Prime Factorization of 18537

Prime factors of 18537 are 3, 37, 167. Prime factorization of 18537 in exponential form is:

18537 = 31 × 371 × 1671

Prime Factorization of 18543

Prime factors of 18543 are 3, 7, 883. Prime factorization of 18543 in exponential form is:

18543 = 31 × 71 × 8831

Now multiplying the highest exponent prime factors to calculate the LCM of 18537 and 18543.

LCM(18537,18543) = 31 × 371 × 1671 × 71 × 8831
LCM(18537,18543) = 114577197