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What is the Least Common Multiple of 12186 and 12203?

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 12203 is 148705758.

LCM(12186,12203) = 148705758

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Least Common Multiple of 12186 and 12203 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 12203, than apply into the LCM equation.

GCF(12186,12203) = 1
LCM(12186,12203) = ( 12186 × 12203) / 1
LCM(12186,12203) = 148705758 / 1
LCM(12186,12203) = 148705758

Least Common Multiple (LCM) of 12186 and 12203 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12186 and 12203. First we will calculate the prime factors of 12186 and 12203.

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 12203

Prime factors of 12203 are 12203. Prime factorization of 12203 in exponential form is:

12203 = 122031

Now multiplying the highest exponent prime factors to calculate the LCM of 12186 and 12203.

LCM(12186,12203) = 21 × 32 × 6771 × 122031
LCM(12186,12203) = 148705758