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What is the Least Common Multiple of 23603 and 23611?

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 23603 and 23611 is 557290433.

LCM(23603,23611) = 557290433

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Least Common Multiple of 23603 and 23611 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23603 and 23611, than apply into the LCM equation.

GCF(23603,23611) = 1
LCM(23603,23611) = ( 23603 × 23611) / 1
LCM(23603,23611) = 557290433 / 1
LCM(23603,23611) = 557290433

Least Common Multiple (LCM) of 23603 and 23611 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23603 and 23611. First we will calculate the prime factors of 23603 and 23611.

Prime Factorization of 23603

Prime factors of 23603 are 23603. Prime factorization of 23603 in exponential form is:

23603 = 236031

Prime Factorization of 23611

Prime factors of 23611 are 7, 3373. Prime factorization of 23611 in exponential form is:

23611 = 71 × 33731

Now multiplying the highest exponent prime factors to calculate the LCM of 23603 and 23611.

LCM(23603,23611) = 236031 × 71 × 33731
LCM(23603,23611) = 557290433