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What is the Least Common Multiple of 55262 and 55281?

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 55262 and 55281 is 3054938622.

LCM(55262,55281) = 3054938622

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Least Common Multiple of 55262 and 55281 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55262 and 55281, than apply into the LCM equation.

GCF(55262,55281) = 1
LCM(55262,55281) = ( 55262 × 55281) / 1
LCM(55262,55281) = 3054938622 / 1
LCM(55262,55281) = 3054938622

Least Common Multiple (LCM) of 55262 and 55281 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55262 and 55281. First we will calculate the prime factors of 55262 and 55281.

Prime Factorization of 55262

Prime factors of 55262 are 2, 27631. Prime factorization of 55262 in exponential form is:

55262 = 21 × 276311

Prime Factorization of 55281

Prime factors of 55281 are 3, 18427. Prime factorization of 55281 in exponential form is:

55281 = 31 × 184271

Now multiplying the highest exponent prime factors to calculate the LCM of 55262 and 55281.

LCM(55262,55281) = 21 × 276311 × 31 × 184271
LCM(55262,55281) = 3054938622