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What is the Least Common Multiple of 4271 and 4281?

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 4281 is 18284151.

LCM(4271,4281) = 18284151

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Least Common Multiple of 4271 and 4281 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 4281, than apply into the LCM equation.

GCF(4271,4281) = 1
LCM(4271,4281) = ( 4271 × 4281) / 1
LCM(4271,4281) = 18284151 / 1
LCM(4271,4281) = 18284151

Least Common Multiple (LCM) of 4271 and 4281 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4271 and 4281. First we will calculate the prime factors of 4271 and 4281.

Prime Factorization of 4271

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

4271 = 42711

Prime Factorization of 4281

Prime factors of 4281 are 3, 1427. Prime factorization of 4281 in exponential form is:

4281 = 31 × 14271

Now multiplying the highest exponent prime factors to calculate the LCM of 4271 and 4281.

LCM(4271,4281) = 42711 × 31 × 14271
LCM(4271,4281) = 18284151