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What is the Least Common Multiple of 53439 and 53453?

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 53439 and 53453 is 2856474867.

LCM(53439,53453) = 2856474867

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Least Common Multiple of 53439 and 53453 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53439 and 53453, than apply into the LCM equation.

GCF(53439,53453) = 1
LCM(53439,53453) = ( 53439 × 53453) / 1
LCM(53439,53453) = 2856474867 / 1
LCM(53439,53453) = 2856474867

Least Common Multiple (LCM) of 53439 and 53453 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53439 and 53453. First we will calculate the prime factors of 53439 and 53453.

Prime Factorization of 53439

Prime factors of 53439 are 3, 47, 379. Prime factorization of 53439 in exponential form is:

53439 = 31 × 471 × 3791

Prime Factorization of 53453

Prime factors of 53453 are 53453. Prime factorization of 53453 in exponential form is:

53453 = 534531

Now multiplying the highest exponent prime factors to calculate the LCM of 53439 and 53453.

LCM(53439,53453) = 31 × 471 × 3791 × 534531
LCM(53439,53453) = 2856474867