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What is the Least Common Multiple of 55271 and 55288?

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 55271 and 55288 is 3055823048.

LCM(55271,55288) = 3055823048

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Least Common Multiple of 55271 and 55288 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55271 and 55288, than apply into the LCM equation.

GCF(55271,55288) = 1
LCM(55271,55288) = ( 55271 × 55288) / 1
LCM(55271,55288) = 3055823048 / 1
LCM(55271,55288) = 3055823048

Least Common Multiple (LCM) of 55271 and 55288 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55271 and 55288. First we will calculate the prime factors of 55271 and 55288.

Prime Factorization of 55271

Prime factors of 55271 are 19, 2909. Prime factorization of 55271 in exponential form is:

55271 = 191 × 29091

Prime Factorization of 55288

Prime factors of 55288 are 2, 6911. Prime factorization of 55288 in exponential form is:

55288 = 23 × 69111

Now multiplying the highest exponent prime factors to calculate the LCM of 55271 and 55288.

LCM(55271,55288) = 191 × 29091 × 23 × 69111
LCM(55271,55288) = 3055823048