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What is the Least Common Multiple of 65271 and 65281?

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 65271 and 65281 is 4260956151.

LCM(65271,65281) = 4260956151

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Least Common Multiple of 65271 and 65281 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65271 and 65281, than apply into the LCM equation.

GCF(65271,65281) = 1
LCM(65271,65281) = ( 65271 × 65281) / 1
LCM(65271,65281) = 4260956151 / 1
LCM(65271,65281) = 4260956151

Least Common Multiple (LCM) of 65271 and 65281 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65271 and 65281. First we will calculate the prime factors of 65271 and 65281.

Prime Factorization of 65271

Prime factors of 65271 are 3, 21757. Prime factorization of 65271 in exponential form is:

65271 = 31 × 217571

Prime Factorization of 65281

Prime factors of 65281 are 97, 673. Prime factorization of 65281 in exponential form is:

65281 = 971 × 6731

Now multiplying the highest exponent prime factors to calculate the LCM of 65271 and 65281.

LCM(65271,65281) = 31 × 217571 × 971 × 6731
LCM(65271,65281) = 4260956151