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What is the Least Common Multiple of 30158 and 30165?

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 30158 and 30165 is 909716070.

LCM(30158,30165) = 909716070

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Least Common Multiple of 30158 and 30165 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30158 and 30165, than apply into the LCM equation.

GCF(30158,30165) = 1
LCM(30158,30165) = ( 30158 × 30165) / 1
LCM(30158,30165) = 909716070 / 1
LCM(30158,30165) = 909716070

Least Common Multiple (LCM) of 30158 and 30165 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30158 and 30165. First we will calculate the prime factors of 30158 and 30165.

Prime Factorization of 30158

Prime factors of 30158 are 2, 17, 887. Prime factorization of 30158 in exponential form is:

30158 = 21 × 171 × 8871

Prime Factorization of 30165

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

30165 = 31 × 51 × 20111

Now multiplying the highest exponent prime factors to calculate the LCM of 30158 and 30165.

LCM(30158,30165) = 21 × 171 × 8871 × 31 × 51 × 20111
LCM(30158,30165) = 909716070