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What is the Least Common Multiple of 8237 and 8255?

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 8237 and 8255 is 67996435.

LCM(8237,8255) = 67996435

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Least Common Multiple of 8237 and 8255 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8237 and 8255, than apply into the LCM equation.

GCF(8237,8255) = 1
LCM(8237,8255) = ( 8237 × 8255) / 1
LCM(8237,8255) = 67996435 / 1
LCM(8237,8255) = 67996435

Least Common Multiple (LCM) of 8237 and 8255 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8237 and 8255. First we will calculate the prime factors of 8237 and 8255.

Prime Factorization of 8237

Prime factors of 8237 are 8237. Prime factorization of 8237 in exponential form is:

8237 = 82371

Prime Factorization of 8255

Prime factors of 8255 are 5, 13, 127. Prime factorization of 8255 in exponential form is:

8255 = 51 × 131 × 1271

Now multiplying the highest exponent prime factors to calculate the LCM of 8237 and 8255.

LCM(8237,8255) = 82371 × 51 × 131 × 1271
LCM(8237,8255) = 67996435