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What is the Least Common Multiple of 7180 and 7195?

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 7180 and 7195 is 10332020.

LCM(7180,7195) = 10332020

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Least Common Multiple of 7180 and 7195 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7180 and 7195, than apply into the LCM equation.

GCF(7180,7195) = 5
LCM(7180,7195) = ( 7180 × 7195) / 5
LCM(7180,7195) = 51660100 / 5
LCM(7180,7195) = 10332020

Least Common Multiple (LCM) of 7180 and 7195 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7180 and 7195. First we will calculate the prime factors of 7180 and 7195.

Prime Factorization of 7180

Prime factors of 7180 are 2, 5, 359. Prime factorization of 7180 in exponential form is:

7180 = 22 × 51 × 3591

Prime Factorization of 7195

Prime factors of 7195 are 5, 1439. Prime factorization of 7195 in exponential form is:

7195 = 51 × 14391

Now multiplying the highest exponent prime factors to calculate the LCM of 7180 and 7195.

LCM(7180,7195) = 22 × 51 × 3591 × 14391
LCM(7180,7195) = 10332020