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What is the Least Common Multiple of 55276 and 55282?

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 55282 is 1527883916.

LCM(55276,55282) = 1527883916

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Least Common Multiple of 55276 and 55282 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 55282, than apply into the LCM equation.

GCF(55276,55282) = 2
LCM(55276,55282) = ( 55276 × 55282) / 2
LCM(55276,55282) = 3055767832 / 2
LCM(55276,55282) = 1527883916

Least Common Multiple (LCM) of 55276 and 55282 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55276 and 55282. First we will calculate the prime factors of 55276 and 55282.

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 55282

Prime factors of 55282 are 2, 131, 211. Prime factorization of 55282 in exponential form is:

55282 = 21 × 1311 × 2111

Now multiplying the highest exponent prime factors to calculate the LCM of 55276 and 55282.

LCM(55276,55282) = 22 × 131 × 10631 × 1311 × 2111
LCM(55276,55282) = 1527883916