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What is the Least Common Multiple of 15163 and 15169?

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 15163 and 15169 is 230007547.

LCM(15163,15169) = 230007547

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Least Common Multiple of 15163 and 15169 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15163 and 15169, than apply into the LCM equation.

GCF(15163,15169) = 1
LCM(15163,15169) = ( 15163 × 15169) / 1
LCM(15163,15169) = 230007547 / 1
LCM(15163,15169) = 230007547

Least Common Multiple (LCM) of 15163 and 15169 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15163 and 15169. First we will calculate the prime factors of 15163 and 15169.

Prime Factorization of 15163

Prime factors of 15163 are 59, 257. Prime factorization of 15163 in exponential form is:

15163 = 591 × 2571

Prime Factorization of 15169

Prime factors of 15169 are 7, 11, 197. Prime factorization of 15169 in exponential form is:

15169 = 71 × 111 × 1971

Now multiplying the highest exponent prime factors to calculate the LCM of 15163 and 15169.

LCM(15163,15169) = 591 × 2571 × 71 × 111 × 1971
LCM(15163,15169) = 230007547