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What is the Least Common Multiple of 18547 and 18552?

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 18547 and 18552 is 344083944.

LCM(18547,18552) = 344083944

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Least Common Multiple of 18547 and 18552 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18547 and 18552, than apply into the LCM equation.

GCF(18547,18552) = 1
LCM(18547,18552) = ( 18547 × 18552) / 1
LCM(18547,18552) = 344083944 / 1
LCM(18547,18552) = 344083944

Least Common Multiple (LCM) of 18547 and 18552 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18547 and 18552. First we will calculate the prime factors of 18547 and 18552.

Prime Factorization of 18547

Prime factors of 18547 are 17, 1091. Prime factorization of 18547 in exponential form is:

18547 = 171 × 10911

Prime Factorization of 18552

Prime factors of 18552 are 2, 3, 773. Prime factorization of 18552 in exponential form is:

18552 = 23 × 31 × 7731

Now multiplying the highest exponent prime factors to calculate the LCM of 18547 and 18552.

LCM(18547,18552) = 171 × 10911 × 23 × 31 × 7731
LCM(18547,18552) = 344083944