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What is the Least Common Multiple of 95245 and 95249?

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 95245 and 95249 is 9071991005.

LCM(95245,95249) = 9071991005

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Least Common Multiple of 95245 and 95249 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95245 and 95249, than apply into the LCM equation.

GCF(95245,95249) = 1
LCM(95245,95249) = ( 95245 × 95249) / 1
LCM(95245,95249) = 9071991005 / 1
LCM(95245,95249) = 9071991005

Least Common Multiple (LCM) of 95245 and 95249 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95245 and 95249. First we will calculate the prime factors of 95245 and 95249.

Prime Factorization of 95245

Prime factors of 95245 are 5, 43, 443. Prime factorization of 95245 in exponential form is:

95245 = 51 × 431 × 4431

Prime Factorization of 95249

Prime factors of 95249 are 7, 11, 1237. Prime factorization of 95249 in exponential form is:

95249 = 71 × 111 × 12371

Now multiplying the highest exponent prime factors to calculate the LCM of 95245 and 95249.

LCM(95245,95249) = 51 × 431 × 4431 × 71 × 111 × 12371
LCM(95245,95249) = 9071991005