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What is the Least Common Multiple of 12169 and 12186?

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 12169 and 12186 is 148291434.

LCM(12169,12186) = 148291434

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Least Common Multiple of 12169 and 12186 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12169 and 12186, than apply into the LCM equation.

GCF(12169,12186) = 1
LCM(12169,12186) = ( 12169 × 12186) / 1
LCM(12169,12186) = 148291434 / 1
LCM(12169,12186) = 148291434

Least Common Multiple (LCM) of 12169 and 12186 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12169 and 12186. First we will calculate the prime factors of 12169 and 12186.

Prime Factorization of 12169

Prime factors of 12169 are 43, 283. Prime factorization of 12169 in exponential form is:

12169 = 431 × 2831

Prime Factorization of 12186

Prime factors of 12186 are 2, 3, 677. Prime factorization of 12186 in exponential form is:

12186 = 21 × 32 × 6771

Now multiplying the highest exponent prime factors to calculate the LCM of 12169 and 12186.

LCM(12169,12186) = 431 × 2831 × 21 × 32 × 6771
LCM(12169,12186) = 148291434