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What is the Least Common Multiple of 55221 and 55228?

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 55221 and 55228 is 3049745388.

LCM(55221,55228) = 3049745388

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Least Common Multiple of 55221 and 55228 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55221 and 55228, than apply into the LCM equation.

GCF(55221,55228) = 1
LCM(55221,55228) = ( 55221 × 55228) / 1
LCM(55221,55228) = 3049745388 / 1
LCM(55221,55228) = 3049745388

Least Common Multiple (LCM) of 55221 and 55228 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55221 and 55228. First we will calculate the prime factors of 55221 and 55228.

Prime Factorization of 55221

Prime factors of 55221 are 3, 79, 233. Prime factorization of 55221 in exponential form is:

55221 = 31 × 791 × 2331

Prime Factorization of 55228

Prime factors of 55228 are 2, 13807. Prime factorization of 55228 in exponential form is:

55228 = 22 × 138071

Now multiplying the highest exponent prime factors to calculate the LCM of 55221 and 55228.

LCM(55221,55228) = 31 × 791 × 2331 × 22 × 138071
LCM(55221,55228) = 3049745388