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What is the Least Common Multiple of 12168 and 12178?

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 12168 and 12178 is 74090952.

LCM(12168,12178) = 74090952

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Least Common Multiple of 12168 and 12178 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12168 and 12178, than apply into the LCM equation.

GCF(12168,12178) = 2
LCM(12168,12178) = ( 12168 × 12178) / 2
LCM(12168,12178) = 148181904 / 2
LCM(12168,12178) = 74090952

Least Common Multiple (LCM) of 12168 and 12178 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12168 and 12178. First we will calculate the prime factors of 12168 and 12178.

Prime Factorization of 12168

Prime factors of 12168 are 2, 3, 13. Prime factorization of 12168 in exponential form is:

12168 = 23 × 32 × 132

Prime Factorization of 12178

Prime factors of 12178 are 2, 6089. Prime factorization of 12178 in exponential form is:

12178 = 21 × 60891

Now multiplying the highest exponent prime factors to calculate the LCM of 12168 and 12178.

LCM(12168,12178) = 23 × 32 × 132 × 60891
LCM(12168,12178) = 74090952