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What is the Least Common Multiple of 65240 and 65257?

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 65240 and 65257 is 4257366680.

LCM(65240,65257) = 4257366680

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Least Common Multiple of 65240 and 65257 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65240 and 65257, than apply into the LCM equation.

GCF(65240,65257) = 1
LCM(65240,65257) = ( 65240 × 65257) / 1
LCM(65240,65257) = 4257366680 / 1
LCM(65240,65257) = 4257366680

Least Common Multiple (LCM) of 65240 and 65257 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65240 and 65257. First we will calculate the prime factors of 65240 and 65257.

Prime Factorization of 65240

Prime factors of 65240 are 2, 5, 7, 233. Prime factorization of 65240 in exponential form is:

65240 = 23 × 51 × 71 × 2331

Prime Factorization of 65257

Prime factors of 65257 are 65257. Prime factorization of 65257 in exponential form is:

65257 = 652571

Now multiplying the highest exponent prime factors to calculate the LCM of 65240 and 65257.

LCM(65240,65257) = 23 × 51 × 71 × 2331 × 652571
LCM(65240,65257) = 4257366680