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What is the Least Common Multiple of 65508 and 65528?

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 65508 and 65528 is 1073152056.

LCM(65508,65528) = 1073152056

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Least Common Multiple of 65508 and 65528 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65508 and 65528, than apply into the LCM equation.

GCF(65508,65528) = 4
LCM(65508,65528) = ( 65508 × 65528) / 4
LCM(65508,65528) = 4292608224 / 4
LCM(65508,65528) = 1073152056

Least Common Multiple (LCM) of 65508 and 65528 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65508 and 65528. First we will calculate the prime factors of 65508 and 65528.

Prime Factorization of 65508

Prime factors of 65508 are 2, 3, 53, 103. Prime factorization of 65508 in exponential form is:

65508 = 22 × 31 × 531 × 1031

Prime Factorization of 65528

Prime factors of 65528 are 2, 8191. Prime factorization of 65528 in exponential form is:

65528 = 23 × 81911

Now multiplying the highest exponent prime factors to calculate the LCM of 65508 and 65528.

LCM(65508,65528) = 23 × 31 × 531 × 1031 × 81911
LCM(65508,65528) = 1073152056