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What is the Least Common Multiple of 30154 and 30161?

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 30154 and 30161 is 909474794.

LCM(30154,30161) = 909474794

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Least Common Multiple of 30154 and 30161 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30154 and 30161, than apply into the LCM equation.

GCF(30154,30161) = 1
LCM(30154,30161) = ( 30154 × 30161) / 1
LCM(30154,30161) = 909474794 / 1
LCM(30154,30161) = 909474794

Least Common Multiple (LCM) of 30154 and 30161 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30154 and 30161. First we will calculate the prime factors of 30154 and 30161.

Prime Factorization of 30154

Prime factors of 30154 are 2, 15077. Prime factorization of 30154 in exponential form is:

30154 = 21 × 150771

Prime Factorization of 30161

Prime factors of 30161 are 30161. Prime factorization of 30161 in exponential form is:

30161 = 301611

Now multiplying the highest exponent prime factors to calculate the LCM of 30154 and 30161.

LCM(30154,30161) = 21 × 150771 × 301611
LCM(30154,30161) = 909474794