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What is the Least Common Multiple of 5055 and 5062?

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 5055 and 5062 is 25588410.

LCM(5055,5062) = 25588410

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Least Common Multiple of 5055 and 5062 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5055 and 5062, than apply into the LCM equation.

GCF(5055,5062) = 1
LCM(5055,5062) = ( 5055 × 5062) / 1
LCM(5055,5062) = 25588410 / 1
LCM(5055,5062) = 25588410

Least Common Multiple (LCM) of 5055 and 5062 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5055 and 5062. First we will calculate the prime factors of 5055 and 5062.

Prime Factorization of 5055

Prime factors of 5055 are 3, 5, 337. Prime factorization of 5055 in exponential form is:

5055 = 31 × 51 × 3371

Prime Factorization of 5062

Prime factors of 5062 are 2, 2531. Prime factorization of 5062 in exponential form is:

5062 = 21 × 25311

Now multiplying the highest exponent prime factors to calculate the LCM of 5055 and 5062.

LCM(5055,5062) = 31 × 51 × 3371 × 21 × 25311
LCM(5055,5062) = 25588410