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What is the Least Common Multiple of 65254 and 65266?

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 65254 and 65266 is 2129433782.

LCM(65254,65266) = 2129433782

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Least Common Multiple of 65254 and 65266 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65254 and 65266, than apply into the LCM equation.

GCF(65254,65266) = 2
LCM(65254,65266) = ( 65254 × 65266) / 2
LCM(65254,65266) = 4258867564 / 2
LCM(65254,65266) = 2129433782

Least Common Multiple (LCM) of 65254 and 65266 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65254 and 65266. First we will calculate the prime factors of 65254 and 65266.

Prime Factorization of 65254

Prime factors of 65254 are 2, 7, 59, 79. Prime factorization of 65254 in exponential form is:

65254 = 21 × 71 × 591 × 791

Prime Factorization of 65266

Prime factors of 65266 are 2, 32633. Prime factorization of 65266 in exponential form is:

65266 = 21 × 326331

Now multiplying the highest exponent prime factors to calculate the LCM of 65254 and 65266.

LCM(65254,65266) = 21 × 71 × 591 × 791 × 326331
LCM(65254,65266) = 2129433782