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What is the Least Common Multiple of 12186 and 12201?

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 12186 and 12201 is 49560462.

LCM(12186,12201) = 49560462

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Least Common Multiple of 12186 and 12201 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12186 and 12201, than apply into the LCM equation.

GCF(12186,12201) = 3
LCM(12186,12201) = ( 12186 × 12201) / 3
LCM(12186,12201) = 148681386 / 3
LCM(12186,12201) = 49560462

Least Common Multiple (LCM) of 12186 and 12201 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12186 and 12201. First we will calculate the prime factors of 12186 and 12201.

Prime Factorization of 12186

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

12186 = 21 × 32 × 6771

Prime Factorization of 12201

Prime factors of 12201 are 3, 7, 83. Prime factorization of 12201 in exponential form is:

12201 = 31 × 72 × 831

Now multiplying the highest exponent prime factors to calculate the LCM of 12186 and 12201.

LCM(12186,12201) = 21 × 32 × 6771 × 72 × 831
LCM(12186,12201) = 49560462