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What is the Least Common Multiple of 18607 and 18611?

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 18607 and 18611 is 346294877.

LCM(18607,18611) = 346294877

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Least Common Multiple of 18607 and 18611 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18607 and 18611, than apply into the LCM equation.

GCF(18607,18611) = 1
LCM(18607,18611) = ( 18607 × 18611) / 1
LCM(18607,18611) = 346294877 / 1
LCM(18607,18611) = 346294877

Least Common Multiple (LCM) of 18607 and 18611 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18607 and 18611. First we will calculate the prime factors of 18607 and 18611.

Prime Factorization of 18607

Prime factors of 18607 are 23, 809. Prime factorization of 18607 in exponential form is:

18607 = 231 × 8091

Prime Factorization of 18611

Prime factors of 18611 are 37, 503. Prime factorization of 18611 in exponential form is:

18611 = 371 × 5031

Now multiplying the highest exponent prime factors to calculate the LCM of 18607 and 18611.

LCM(18607,18611) = 231 × 8091 × 371 × 5031
LCM(18607,18611) = 346294877