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What is the Least Common Multiple of 55276 and 55287?

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 55276 and 55287 is 3056044212.

LCM(55276,55287) = 3056044212

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Least Common Multiple of 55276 and 55287 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55276 and 55287, than apply into the LCM equation.

GCF(55276,55287) = 1
LCM(55276,55287) = ( 55276 × 55287) / 1
LCM(55276,55287) = 3056044212 / 1
LCM(55276,55287) = 3056044212

Least Common Multiple (LCM) of 55276 and 55287 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55276 and 55287. First we will calculate the prime factors of 55276 and 55287.

Prime Factorization of 55276

Prime factors of 55276 are 2, 13, 1063. Prime factorization of 55276 in exponential form is:

55276 = 22 × 131 × 10631

Prime Factorization of 55287

Prime factors of 55287 are 3, 6143. Prime factorization of 55287 in exponential form is:

55287 = 32 × 61431

Now multiplying the highest exponent prime factors to calculate the LCM of 55276 and 55287.

LCM(55276,55287) = 22 × 131 × 10631 × 32 × 61431
LCM(55276,55287) = 3056044212