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What is the Least Common Multiple of 65271 and 65288?

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 65288 is 4261413048.

LCM(65271,65288) = 4261413048

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Least Common Multiple of 65271 and 65288 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 65288, than apply into the LCM equation.

GCF(65271,65288) = 1
LCM(65271,65288) = ( 65271 × 65288) / 1
LCM(65271,65288) = 4261413048 / 1
LCM(65271,65288) = 4261413048

Least Common Multiple (LCM) of 65271 and 65288 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65271 and 65288. First we will calculate the prime factors of 65271 and 65288.

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 65288

Prime factors of 65288 are 2, 8161. Prime factorization of 65288 in exponential form is:

65288 = 23 × 81611

Now multiplying the highest exponent prime factors to calculate the LCM of 65271 and 65288.

LCM(65271,65288) = 31 × 217571 × 23 × 81611
LCM(65271,65288) = 4261413048