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What is the Least Common Multiple of 55253 and 55266?

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 55266 is 3053612298.

LCM(55253,55266) = 3053612298

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Least Common Multiple of 55253 and 55266 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 55266, than apply into the LCM equation.

GCF(55253,55266) = 1
LCM(55253,55266) = ( 55253 × 55266) / 1
LCM(55253,55266) = 3053612298 / 1
LCM(55253,55266) = 3053612298

Least Common Multiple (LCM) of 55253 and 55266 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55253 and 55266. First we will calculate the prime factors of 55253 and 55266.

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 55266

Prime factors of 55266 are 2, 3, 61, 151. Prime factorization of 55266 in exponential form is:

55266 = 21 × 31 × 611 × 1511

Now multiplying the highest exponent prime factors to calculate the LCM of 55253 and 55266.

LCM(55253,55266) = 111 × 50231 × 21 × 31 × 611 × 1511
LCM(55253,55266) = 3053612298