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What is the Least Common Multiple of 8227 and 8235?

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 8227 and 8235 is 67749345.

LCM(8227,8235) = 67749345

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Least Common Multiple of 8227 and 8235 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8227 and 8235, than apply into the LCM equation.

GCF(8227,8235) = 1
LCM(8227,8235) = ( 8227 × 8235) / 1
LCM(8227,8235) = 67749345 / 1
LCM(8227,8235) = 67749345

Least Common Multiple (LCM) of 8227 and 8235 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8227 and 8235. First we will calculate the prime factors of 8227 and 8235.

Prime Factorization of 8227

Prime factors of 8227 are 19, 433. Prime factorization of 8227 in exponential form is:

8227 = 191 × 4331

Prime Factorization of 8235

Prime factors of 8235 are 3, 5, 61. Prime factorization of 8235 in exponential form is:

8235 = 33 × 51 × 611

Now multiplying the highest exponent prime factors to calculate the LCM of 8227 and 8235.

LCM(8227,8235) = 191 × 4331 × 33 × 51 × 611
LCM(8227,8235) = 67749345