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What is the Least Common Multiple of 18521 and 18541?

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 18521 and 18541 is 343397861.

LCM(18521,18541) = 343397861

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Least Common Multiple of 18521 and 18541 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18521 and 18541, than apply into the LCM equation.

GCF(18521,18541) = 1
LCM(18521,18541) = ( 18521 × 18541) / 1
LCM(18521,18541) = 343397861 / 1
LCM(18521,18541) = 343397861

Least Common Multiple (LCM) of 18521 and 18541 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18521 and 18541. First we will calculate the prime factors of 18521 and 18541.

Prime Factorization of 18521

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

18521 = 185211

Prime Factorization of 18541

Prime factors of 18541 are 18541. Prime factorization of 18541 in exponential form is:

18541 = 185411

Now multiplying the highest exponent prime factors to calculate the LCM of 18521 and 18541.

LCM(18521,18541) = 185211 × 185411
LCM(18521,18541) = 343397861