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What is the Least Common Multiple of 55253 and 55262?

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 55253 and 55262 is 3053391286.

LCM(55253,55262) = 3053391286

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Least Common Multiple of 55253 and 55262 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55253 and 55262, than apply into the LCM equation.

GCF(55253,55262) = 1
LCM(55253,55262) = ( 55253 × 55262) / 1
LCM(55253,55262) = 3053391286 / 1
LCM(55253,55262) = 3053391286

Least Common Multiple (LCM) of 55253 and 55262 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55253 and 55262. First we will calculate the prime factors of 55253 and 55262.

Prime Factorization of 55253

Prime factors of 55253 are 11, 5023. Prime factorization of 55253 in exponential form is:

55253 = 111 × 50231

Prime Factorization of 55262

Prime factors of 55262 are 2, 27631. Prime factorization of 55262 in exponential form is:

55262 = 21 × 276311

Now multiplying the highest exponent prime factors to calculate the LCM of 55253 and 55262.

LCM(55253,55262) = 111 × 50231 × 21 × 276311
LCM(55253,55262) = 3053391286