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What is the Least Common Multiple of 15611 and 15621?

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 15611 and 15621 is 243859431.

LCM(15611,15621) = 243859431

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Least Common Multiple of 15611 and 15621 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15611 and 15621, than apply into the LCM equation.

GCF(15611,15621) = 1
LCM(15611,15621) = ( 15611 × 15621) / 1
LCM(15611,15621) = 243859431 / 1
LCM(15611,15621) = 243859431

Least Common Multiple (LCM) of 15611 and 15621 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15611 and 15621. First we will calculate the prime factors of 15611 and 15621.

Prime Factorization of 15611

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

15611 = 671 × 2331

Prime Factorization of 15621

Prime factors of 15621 are 3, 41, 127. Prime factorization of 15621 in exponential form is:

15621 = 31 × 411 × 1271

Now multiplying the highest exponent prime factors to calculate the LCM of 15611 and 15621.

LCM(15611,15621) = 671 × 2331 × 31 × 411 × 1271
LCM(15611,15621) = 243859431