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What is the Least Common Multiple of 15601 and 15611?

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 15601 and 15611 is 243547211.

LCM(15601,15611) = 243547211

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Least Common Multiple of 15601 and 15611 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15601 and 15611, than apply into the LCM equation.

GCF(15601,15611) = 1
LCM(15601,15611) = ( 15601 × 15611) / 1
LCM(15601,15611) = 243547211 / 1
LCM(15601,15611) = 243547211

Least Common Multiple (LCM) of 15601 and 15611 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15601 and 15611. First we will calculate the prime factors of 15601 and 15611.

Prime Factorization of 15601

Prime factors of 15601 are 15601. Prime factorization of 15601 in exponential form is:

15601 = 156011

Prime Factorization of 15611

Prime factors of 15611 are 67, 233. Prime factorization of 15611 in exponential form is:

15611 = 671 × 2331

Now multiplying the highest exponent prime factors to calculate the LCM of 15601 and 15611.

LCM(15601,15611) = 156011 × 671 × 2331
LCM(15601,15611) = 243547211