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What is the Least Common Multiple of 30165 and 30175?

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 30165 and 30175 is 182045775.

LCM(30165,30175) = 182045775

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Least Common Multiple of 30165 and 30175 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30165 and 30175, than apply into the LCM equation.

GCF(30165,30175) = 5
LCM(30165,30175) = ( 30165 × 30175) / 5
LCM(30165,30175) = 910228875 / 5
LCM(30165,30175) = 182045775

Least Common Multiple (LCM) of 30165 and 30175 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30165 and 30175. First we will calculate the prime factors of 30165 and 30175.

Prime Factorization of 30165

Prime factors of 30165 are 3, 5, 2011. Prime factorization of 30165 in exponential form is:

30165 = 31 × 51 × 20111

Prime Factorization of 30175

Prime factors of 30175 are 5, 17, 71. Prime factorization of 30175 in exponential form is:

30175 = 52 × 171 × 711

Now multiplying the highest exponent prime factors to calculate the LCM of 30165 and 30175.

LCM(30165,30175) = 31 × 52 × 20111 × 171 × 711
LCM(30165,30175) = 182045775