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What is the Least Common Multiple of 53237 and 53243?

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 53237 and 53243 is 2834497591.

LCM(53237,53243) = 2834497591

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Least Common Multiple of 53237 and 53243 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53237 and 53243, than apply into the LCM equation.

GCF(53237,53243) = 1
LCM(53237,53243) = ( 53237 × 53243) / 1
LCM(53237,53243) = 2834497591 / 1
LCM(53237,53243) = 2834497591

Least Common Multiple (LCM) of 53237 and 53243 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53237 and 53243. First we will calculate the prime factors of 53237 and 53243.

Prime Factorization of 53237

Prime factors of 53237 are 139, 383. Prime factorization of 53237 in exponential form is:

53237 = 1391 × 3831

Prime Factorization of 53243

Prime factors of 53243 are 37, 1439. Prime factorization of 53243 in exponential form is:

53243 = 371 × 14391

Now multiplying the highest exponent prime factors to calculate the LCM of 53237 and 53243.

LCM(53237,53243) = 1391 × 3831 × 371 × 14391
LCM(53237,53243) = 2834497591