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What is the Least Common Multiple of 65251 and 65265?

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 65251 and 65265 is 4258606515.

LCM(65251,65265) = 4258606515

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Least Common Multiple of 65251 and 65265 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65251 and 65265, than apply into the LCM equation.

GCF(65251,65265) = 1
LCM(65251,65265) = ( 65251 × 65265) / 1
LCM(65251,65265) = 4258606515 / 1
LCM(65251,65265) = 4258606515

Least Common Multiple (LCM) of 65251 and 65265 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65251 and 65265. First we will calculate the prime factors of 65251 and 65265.

Prime Factorization of 65251

Prime factors of 65251 are 23, 2837. Prime factorization of 65251 in exponential form is:

65251 = 231 × 28371

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

Now multiplying the highest exponent prime factors to calculate the LCM of 65251 and 65265.

LCM(65251,65265) = 231 × 28371 × 31 × 51 × 191 × 2291
LCM(65251,65265) = 4258606515