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What is the Least Common Multiple of 5235 and 5255?

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 5235 and 5255 is 5501985.

LCM(5235,5255) = 5501985

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Least Common Multiple of 5235 and 5255 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5235 and 5255, than apply into the LCM equation.

GCF(5235,5255) = 5
LCM(5235,5255) = ( 5235 × 5255) / 5
LCM(5235,5255) = 27509925 / 5
LCM(5235,5255) = 5501985

Least Common Multiple (LCM) of 5235 and 5255 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5235 and 5255. First we will calculate the prime factors of 5235 and 5255.

Prime Factorization of 5235

Prime factors of 5235 are 3, 5, 349. Prime factorization of 5235 in exponential form is:

5235 = 31 × 51 × 3491

Prime Factorization of 5255

Prime factors of 5255 are 5, 1051. Prime factorization of 5255 in exponential form is:

5255 = 51 × 10511

Now multiplying the highest exponent prime factors to calculate the LCM of 5235 and 5255.

LCM(5235,5255) = 31 × 51 × 3491 × 10511
LCM(5235,5255) = 5501985