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What is the Least Common Multiple of 55266 and 55277?

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 55266 and 55277 is 3054938682.

LCM(55266,55277) = 3054938682

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Least Common Multiple of 55266 and 55277 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55266 and 55277, than apply into the LCM equation.

GCF(55266,55277) = 1
LCM(55266,55277) = ( 55266 × 55277) / 1
LCM(55266,55277) = 3054938682 / 1
LCM(55266,55277) = 3054938682

Least Common Multiple (LCM) of 55266 and 55277 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55266 and 55277. First we will calculate the prime factors of 55266 and 55277.

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

Prime Factorization of 55277

Prime factors of 55277 are 167, 331. Prime factorization of 55277 in exponential form is:

55277 = 1671 × 3311

Now multiplying the highest exponent prime factors to calculate the LCM of 55266 and 55277.

LCM(55266,55277) = 21 × 31 × 611 × 1511 × 1671 × 3311
LCM(55266,55277) = 3054938682