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What is the Least Common Multiple of 15277 and 15282?

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 15277 and 15282 is 233463114.

LCM(15277,15282) = 233463114

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Least Common Multiple of 15277 and 15282 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15277 and 15282, than apply into the LCM equation.

GCF(15277,15282) = 1
LCM(15277,15282) = ( 15277 × 15282) / 1
LCM(15277,15282) = 233463114 / 1
LCM(15277,15282) = 233463114

Least Common Multiple (LCM) of 15277 and 15282 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15277 and 15282. First we will calculate the prime factors of 15277 and 15282.

Prime Factorization of 15277

Prime factors of 15277 are 15277. Prime factorization of 15277 in exponential form is:

15277 = 152771

Prime Factorization of 15282

Prime factors of 15282 are 2, 3, 283. Prime factorization of 15282 in exponential form is:

15282 = 21 × 33 × 2831

Now multiplying the highest exponent prime factors to calculate the LCM of 15277 and 15282.

LCM(15277,15282) = 152771 × 21 × 33 × 2831
LCM(15277,15282) = 233463114