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What is the Least Common Multiple of 65288 and 65295?

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 65288 and 65295 is 4262979960.

LCM(65288,65295) = 4262979960

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Least Common Multiple of 65288 and 65295 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65288 and 65295, than apply into the LCM equation.

GCF(65288,65295) = 1
LCM(65288,65295) = ( 65288 × 65295) / 1
LCM(65288,65295) = 4262979960 / 1
LCM(65288,65295) = 4262979960

Least Common Multiple (LCM) of 65288 and 65295 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65288 and 65295. First we will calculate the prime factors of 65288 and 65295.

Prime Factorization of 65288

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

65288 = 23 × 81611

Prime Factorization of 65295

Prime factors of 65295 are 3, 5, 1451. Prime factorization of 65295 in exponential form is:

65295 = 32 × 51 × 14511

Now multiplying the highest exponent prime factors to calculate the LCM of 65288 and 65295.

LCM(65288,65295) = 23 × 81611 × 32 × 51 × 14511
LCM(65288,65295) = 4262979960