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What is the Least Common Multiple of 55898 and 55912?

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 55898 and 55912 is 1562684488.

LCM(55898,55912) = 1562684488

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Least Common Multiple of 55898 and 55912 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55898 and 55912, than apply into the LCM equation.

GCF(55898,55912) = 2
LCM(55898,55912) = ( 55898 × 55912) / 2
LCM(55898,55912) = 3125368976 / 2
LCM(55898,55912) = 1562684488

Least Common Multiple (LCM) of 55898 and 55912 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55898 and 55912. First we will calculate the prime factors of 55898 and 55912.

Prime Factorization of 55898

Prime factors of 55898 are 2, 19, 1471. Prime factorization of 55898 in exponential form is:

55898 = 21 × 191 × 14711

Prime Factorization of 55912

Prime factors of 55912 are 2, 29, 241. Prime factorization of 55912 in exponential form is:

55912 = 23 × 291 × 2411

Now multiplying the highest exponent prime factors to calculate the LCM of 55898 and 55912.

LCM(55898,55912) = 23 × 191 × 14711 × 291 × 2411
LCM(55898,55912) = 1562684488