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What is the Least Common Multiple of 8216 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 8216 and 8225 is 67576600.

LCM(8216,8225) = 67576600

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Least Common Multiple of 8216 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 8216 and 8225, than apply into the LCM equation.

GCF(8216,8225) = 1
LCM(8216,8225) = ( 8216 × 8225) / 1
LCM(8216,8225) = 67576600 / 1
LCM(8216,8225) = 67576600

Least Common Multiple (LCM) of 8216 and 8225 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8216 and 8225. First we will calculate the prime factors of 8216 and 8225.

Prime Factorization of 8216

Prime factors of 8216 are 2, 13, 79. Prime factorization of 8216 in exponential form is:

8216 = 23 × 131 × 791

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 8216 and 8225.

LCM(8216,8225) = 23 × 131 × 791 × 52 × 71 × 471
LCM(8216,8225) = 67576600