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What is the Least Common Multiple of 7095 and 7115?

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 7095 and 7115 is 10096185.

LCM(7095,7115) = 10096185

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Least Common Multiple of 7095 and 7115 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7095 and 7115, than apply into the LCM equation.

GCF(7095,7115) = 5
LCM(7095,7115) = ( 7095 × 7115) / 5
LCM(7095,7115) = 50480925 / 5
LCM(7095,7115) = 10096185

Least Common Multiple (LCM) of 7095 and 7115 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7095 and 7115. First we will calculate the prime factors of 7095 and 7115.

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

Prime Factorization of 7115

Prime factors of 7115 are 5, 1423. Prime factorization of 7115 in exponential form is:

7115 = 51 × 14231

Now multiplying the highest exponent prime factors to calculate the LCM of 7095 and 7115.

LCM(7095,7115) = 31 × 51 × 111 × 431 × 14231
LCM(7095,7115) = 10096185