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What is the Least Common Multiple of 12166 and 12179?

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 12166 and 12179 is 148169714.

LCM(12166,12179) = 148169714

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Least Common Multiple of 12166 and 12179 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12166 and 12179, than apply into the LCM equation.

GCF(12166,12179) = 1
LCM(12166,12179) = ( 12166 × 12179) / 1
LCM(12166,12179) = 148169714 / 1
LCM(12166,12179) = 148169714

Least Common Multiple (LCM) of 12166 and 12179 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12166 and 12179. First we will calculate the prime factors of 12166 and 12179.

Prime Factorization of 12166

Prime factors of 12166 are 2, 7, 11, 79. Prime factorization of 12166 in exponential form is:

12166 = 21 × 71 × 111 × 791

Prime Factorization of 12179

Prime factors of 12179 are 19, 641. Prime factorization of 12179 in exponential form is:

12179 = 191 × 6411

Now multiplying the highest exponent prime factors to calculate the LCM of 12166 and 12179.

LCM(12166,12179) = 21 × 71 × 111 × 791 × 191 × 6411
LCM(12166,12179) = 148169714