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What is the Least Common Multiple of 12169 and 12182?

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 12182 is 148242758.

LCM(12169,12182) = 148242758

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Least Common Multiple of 12169 and 12182 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 12182, than apply into the LCM equation.

GCF(12169,12182) = 1
LCM(12169,12182) = ( 12169 × 12182) / 1
LCM(12169,12182) = 148242758 / 1
LCM(12169,12182) = 148242758

Least Common Multiple (LCM) of 12169 and 12182 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12169 and 12182. First we will calculate the prime factors of 12169 and 12182.

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 12182

Prime factors of 12182 are 2, 6091. Prime factorization of 12182 in exponential form is:

12182 = 21 × 60911

Now multiplying the highest exponent prime factors to calculate the LCM of 12169 and 12182.

LCM(12169,12182) = 431 × 2831 × 21 × 60911
LCM(12169,12182) = 148242758