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What is the Least Common Multiple of 18513 and 18521?

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 18513 and 18521 is 342879273.

LCM(18513,18521) = 342879273

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Least Common Multiple of 18513 and 18521 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18513 and 18521, than apply into the LCM equation.

GCF(18513,18521) = 1
LCM(18513,18521) = ( 18513 × 18521) / 1
LCM(18513,18521) = 342879273 / 1
LCM(18513,18521) = 342879273

Least Common Multiple (LCM) of 18513 and 18521 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18513 and 18521. First we will calculate the prime factors of 18513 and 18521.

Prime Factorization of 18513

Prime factors of 18513 are 3, 11, 17. Prime factorization of 18513 in exponential form is:

18513 = 32 × 112 × 171

Prime Factorization of 18521

Prime factors of 18521 are 18521. Prime factorization of 18521 in exponential form is:

18521 = 185211

Now multiplying the highest exponent prime factors to calculate the LCM of 18513 and 18521.

LCM(18513,18521) = 32 × 112 × 171 × 185211
LCM(18513,18521) = 342879273