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What is the Least Common Multiple of 30164 and 30183?

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 30164 and 30183 is 910440012.

LCM(30164,30183) = 910440012

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Least Common Multiple of 30164 and 30183 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30164 and 30183, than apply into the LCM equation.

GCF(30164,30183) = 1
LCM(30164,30183) = ( 30164 × 30183) / 1
LCM(30164,30183) = 910440012 / 1
LCM(30164,30183) = 910440012

Least Common Multiple (LCM) of 30164 and 30183 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30164 and 30183. First we will calculate the prime factors of 30164 and 30183.

Prime Factorization of 30164

Prime factors of 30164 are 2, 7541. Prime factorization of 30164 in exponential form is:

30164 = 22 × 75411

Prime Factorization of 30183

Prime factors of 30183 are 3, 10061. Prime factorization of 30183 in exponential form is:

30183 = 31 × 100611

Now multiplying the highest exponent prime factors to calculate the LCM of 30164 and 30183.

LCM(30164,30183) = 22 × 75411 × 31 × 100611
LCM(30164,30183) = 910440012