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What is the Least Common Multiple of 65443 and 65453?

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 65443 and 65453 is 4283440679.

LCM(65443,65453) = 4283440679

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Least Common Multiple of 65443 and 65453 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65443 and 65453, than apply into the LCM equation.

GCF(65443,65453) = 1
LCM(65443,65453) = ( 65443 × 65453) / 1
LCM(65443,65453) = 4283440679 / 1
LCM(65443,65453) = 4283440679

Least Common Multiple (LCM) of 65443 and 65453 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65443 and 65453. First we will calculate the prime factors of 65443 and 65453.

Prime Factorization of 65443

Prime factors of 65443 are 7, 9349. Prime factorization of 65443 in exponential form is:

65443 = 71 × 93491

Prime Factorization of 65453

Prime factors of 65453 are 29, 37, 61. Prime factorization of 65453 in exponential form is:

65453 = 291 × 371 × 611

Now multiplying the highest exponent prime factors to calculate the LCM of 65443 and 65453.

LCM(65443,65453) = 71 × 93491 × 291 × 371 × 611
LCM(65443,65453) = 4283440679