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What is the Least Common Multiple of 30165 and 30177?

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 30177 is 303429735.

LCM(30165,30177) = 303429735

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Least Common Multiple of 30165 and 30177 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 30177, than apply into the LCM equation.

GCF(30165,30177) = 3
LCM(30165,30177) = ( 30165 × 30177) / 3
LCM(30165,30177) = 910289205 / 3
LCM(30165,30177) = 303429735

Least Common Multiple (LCM) of 30165 and 30177 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30165 and 30177. First we will calculate the prime factors of 30165 and 30177.

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 30177

Prime factors of 30177 are 3, 7, 479. Prime factorization of 30177 in exponential form is:

30177 = 32 × 71 × 4791

Now multiplying the highest exponent prime factors to calculate the LCM of 30165 and 30177.

LCM(30165,30177) = 32 × 51 × 20111 × 71 × 4791
LCM(30165,30177) = 303429735