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What is the Least Common Multiple of 7085 and 7095?

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 7085 and 7095 is 10053615.

LCM(7085,7095) = 10053615

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Least Common Multiple of 7085 and 7095 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7085 and 7095, than apply into the LCM equation.

GCF(7085,7095) = 5
LCM(7085,7095) = ( 7085 × 7095) / 5
LCM(7085,7095) = 50268075 / 5
LCM(7085,7095) = 10053615

Least Common Multiple (LCM) of 7085 and 7095 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7085 and 7095. First we will calculate the prime factors of 7085 and 7095.

Prime Factorization of 7085

Prime factors of 7085 are 5, 13, 109. Prime factorization of 7085 in exponential form is:

7085 = 51 × 131 × 1091

Prime Factorization of 7095

Prime factors of 7095 are 3, 5, 11, 43. Prime factorization of 7095 in exponential form is:

7095 = 31 × 51 × 111 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 7085 and 7095.

LCM(7085,7095) = 51 × 131 × 1091 × 31 × 111 × 431
LCM(7085,7095) = 10053615