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What is the Least Common Multiple of 53247 and 53255?

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 53247 and 53255 is 2835668985.

LCM(53247,53255) = 2835668985

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Least Common Multiple of 53247 and 53255 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53247 and 53255, than apply into the LCM equation.

GCF(53247,53255) = 1
LCM(53247,53255) = ( 53247 × 53255) / 1
LCM(53247,53255) = 2835668985 / 1
LCM(53247,53255) = 2835668985

Least Common Multiple (LCM) of 53247 and 53255 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53247 and 53255. First we will calculate the prime factors of 53247 and 53255.

Prime Factorization of 53247

Prime factors of 53247 are 3, 17749. Prime factorization of 53247 in exponential form is:

53247 = 31 × 177491

Prime Factorization of 53255

Prime factors of 53255 are 5, 10651. Prime factorization of 53255 in exponential form is:

53255 = 51 × 106511

Now multiplying the highest exponent prime factors to calculate the LCM of 53247 and 53255.

LCM(53247,53255) = 31 × 177491 × 51 × 106511
LCM(53247,53255) = 2835668985