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What is the Least Common Multiple of 65326 and 65341?

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 65326 and 65341 is 4268466166.

LCM(65326,65341) = 4268466166

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Least Common Multiple of 65326 and 65341 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65326 and 65341, than apply into the LCM equation.

GCF(65326,65341) = 1
LCM(65326,65341) = ( 65326 × 65341) / 1
LCM(65326,65341) = 4268466166 / 1
LCM(65326,65341) = 4268466166

Least Common Multiple (LCM) of 65326 and 65341 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65326 and 65341. First we will calculate the prime factors of 65326 and 65341.

Prime Factorization of 65326

Prime factors of 65326 are 2, 89, 367. Prime factorization of 65326 in exponential form is:

65326 = 21 × 891 × 3671

Prime Factorization of 65341

Prime factors of 65341 are 19, 181. Prime factorization of 65341 in exponential form is:

65341 = 192 × 1811

Now multiplying the highest exponent prime factors to calculate the LCM of 65326 and 65341.

LCM(65326,65341) = 21 × 891 × 3671 × 192 × 1811
LCM(65326,65341) = 4268466166