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What is the Least Common Multiple of 65265 and 65278?

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 65265 and 65278 is 4260368670.

LCM(65265,65278) = 4260368670

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Least Common Multiple of 65265 and 65278 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65265 and 65278, than apply into the LCM equation.

GCF(65265,65278) = 1
LCM(65265,65278) = ( 65265 × 65278) / 1
LCM(65265,65278) = 4260368670 / 1
LCM(65265,65278) = 4260368670

Least Common Multiple (LCM) of 65265 and 65278 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65265 and 65278. First we will calculate the prime factors of 65265 and 65278.

Prime Factorization of 65265

Prime factors of 65265 are 3, 5, 19, 229. Prime factorization of 65265 in exponential form is:

65265 = 31 × 51 × 191 × 2291

Prime Factorization of 65278

Prime factors of 65278 are 2, 127, 257. Prime factorization of 65278 in exponential form is:

65278 = 21 × 1271 × 2571

Now multiplying the highest exponent prime factors to calculate the LCM of 65265 and 65278.

LCM(65265,65278) = 31 × 51 × 191 × 2291 × 21 × 1271 × 2571
LCM(65265,65278) = 4260368670