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What is the Least Common Multiple of 30169 and 30186?

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 30169 and 30186 is 910681434.

LCM(30169,30186) = 910681434

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Least Common Multiple of 30169 and 30186 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30169 and 30186, than apply into the LCM equation.

GCF(30169,30186) = 1
LCM(30169,30186) = ( 30169 × 30186) / 1
LCM(30169,30186) = 910681434 / 1
LCM(30169,30186) = 910681434

Least Common Multiple (LCM) of 30169 and 30186 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30169 and 30186. First we will calculate the prime factors of 30169 and 30186.

Prime Factorization of 30169

Prime factors of 30169 are 30169. Prime factorization of 30169 in exponential form is:

30169 = 301691

Prime Factorization of 30186

Prime factors of 30186 are 2, 3, 13, 43. Prime factorization of 30186 in exponential form is:

30186 = 21 × 33 × 131 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 30169 and 30186.

LCM(30169,30186) = 301691 × 21 × 33 × 131 × 431
LCM(30169,30186) = 910681434