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What is the Least Common Multiple of 55453 and 55473?

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 55453 and 55473 is 3076144269.

LCM(55453,55473) = 3076144269

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Least Common Multiple of 55453 and 55473 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55453 and 55473, than apply into the LCM equation.

GCF(55453,55473) = 1
LCM(55453,55473) = ( 55453 × 55473) / 1
LCM(55453,55473) = 3076144269 / 1
LCM(55453,55473) = 3076144269

Least Common Multiple (LCM) of 55453 and 55473 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55453 and 55473. First we will calculate the prime factors of 55453 and 55473.

Prime Factorization of 55453

Prime factors of 55453 are 23, 2411. Prime factorization of 55453 in exponential form is:

55453 = 231 × 24111

Prime Factorization of 55473

Prime factors of 55473 are 3, 11, 41. Prime factorization of 55473 in exponential form is:

55473 = 31 × 111 × 412

Now multiplying the highest exponent prime factors to calculate the LCM of 55453 and 55473.

LCM(55453,55473) = 231 × 24111 × 31 × 111 × 412
LCM(55453,55473) = 3076144269