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What is the Least Common Multiple of 55277 and 55290?

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 55277 and 55290 is 3056265330.

LCM(55277,55290) = 3056265330

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Least Common Multiple of 55277 and 55290 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55277 and 55290, than apply into the LCM equation.

GCF(55277,55290) = 1
LCM(55277,55290) = ( 55277 × 55290) / 1
LCM(55277,55290) = 3056265330 / 1
LCM(55277,55290) = 3056265330

Least Common Multiple (LCM) of 55277 and 55290 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55277 and 55290. First we will calculate the prime factors of 55277 and 55290.

Prime Factorization of 55277

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

55277 = 1671 × 3311

Prime Factorization of 55290

Prime factors of 55290 are 2, 3, 5, 19, 97. Prime factorization of 55290 in exponential form is:

55290 = 21 × 31 × 51 × 191 × 971

Now multiplying the highest exponent prime factors to calculate the LCM of 55277 and 55290.

LCM(55277,55290) = 1671 × 3311 × 21 × 31 × 51 × 191 × 971
LCM(55277,55290) = 3056265330