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What is the Least Common Multiple of 8245 and 8253?

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 8245 and 8253 is 68045985.

LCM(8245,8253) = 68045985

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Least Common Multiple of 8245 and 8253 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8245 and 8253, than apply into the LCM equation.

GCF(8245,8253) = 1
LCM(8245,8253) = ( 8245 × 8253) / 1
LCM(8245,8253) = 68045985 / 1
LCM(8245,8253) = 68045985

Least Common Multiple (LCM) of 8245 and 8253 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8245 and 8253. First we will calculate the prime factors of 8245 and 8253.

Prime Factorization of 8245

Prime factors of 8245 are 5, 17, 97. Prime factorization of 8245 in exponential form is:

8245 = 51 × 171 × 971

Prime Factorization of 8253

Prime factors of 8253 are 3, 7, 131. Prime factorization of 8253 in exponential form is:

8253 = 32 × 71 × 1311

Now multiplying the highest exponent prime factors to calculate the LCM of 8245 and 8253.

LCM(8245,8253) = 51 × 171 × 971 × 32 × 71 × 1311
LCM(8245,8253) = 68045985