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What is the Least Common Multiple of 53281 and 53285?

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 53281 and 53285 is 2839078085.

LCM(53281,53285) = 2839078085

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Least Common Multiple of 53281 and 53285 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53281 and 53285, than apply into the LCM equation.

GCF(53281,53285) = 1
LCM(53281,53285) = ( 53281 × 53285) / 1
LCM(53281,53285) = 2839078085 / 1
LCM(53281,53285) = 2839078085

Least Common Multiple (LCM) of 53281 and 53285 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53281 and 53285. First we will calculate the prime factors of 53281 and 53285.

Prime Factorization of 53281

Prime factors of 53281 are 53281. Prime factorization of 53281 in exponential form is:

53281 = 532811

Prime Factorization of 53285

Prime factors of 53285 are 5, 10657. Prime factorization of 53285 in exponential form is:

53285 = 51 × 106571

Now multiplying the highest exponent prime factors to calculate the LCM of 53281 and 53285.

LCM(53281,53285) = 532811 × 51 × 106571
LCM(53281,53285) = 2839078085