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What is the Least Common Multiple of 4271 and 4275?

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 4271 and 4275 is 18258525.

LCM(4271,4275) = 18258525

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Least Common Multiple of 4271 and 4275 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4271 and 4275, than apply into the LCM equation.

GCF(4271,4275) = 1
LCM(4271,4275) = ( 4271 × 4275) / 1
LCM(4271,4275) = 18258525 / 1
LCM(4271,4275) = 18258525

Least Common Multiple (LCM) of 4271 and 4275 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4271 and 4275. First we will calculate the prime factors of 4271 and 4275.

Prime Factorization of 4271

Prime factors of 4271 are 4271. Prime factorization of 4271 in exponential form is:

4271 = 42711

Prime Factorization of 4275

Prime factors of 4275 are 3, 5, 19. Prime factorization of 4275 in exponential form is:

4275 = 32 × 52 × 191

Now multiplying the highest exponent prime factors to calculate the LCM of 4271 and 4275.

LCM(4271,4275) = 42711 × 32 × 52 × 191
LCM(4271,4275) = 18258525