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What is the Least Common Multiple of 8217 and 8225?

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 8217 and 8225 is 67584825.

LCM(8217,8225) = 67584825

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Least Common Multiple of 8217 and 8225 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8217 and 8225, than apply into the LCM equation.

GCF(8217,8225) = 1
LCM(8217,8225) = ( 8217 × 8225) / 1
LCM(8217,8225) = 67584825 / 1
LCM(8217,8225) = 67584825

Least Common Multiple (LCM) of 8217 and 8225 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8217 and 8225. First we will calculate the prime factors of 8217 and 8225.

Prime Factorization of 8217

Prime factors of 8217 are 3, 11, 83. Prime factorization of 8217 in exponential form is:

8217 = 32 × 111 × 831

Prime Factorization of 8225

Prime factors of 8225 are 5, 7, 47. Prime factorization of 8225 in exponential form is:

8225 = 52 × 71 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 8217 and 8225.

LCM(8217,8225) = 32 × 111 × 831 × 52 × 71 × 471
LCM(8217,8225) = 67584825