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What is the Least Common Multiple of 12176 and 12189?

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 12176 and 12189 is 148413264.

LCM(12176,12189) = 148413264

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Least Common Multiple of 12176 and 12189 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12176 and 12189, than apply into the LCM equation.

GCF(12176,12189) = 1
LCM(12176,12189) = ( 12176 × 12189) / 1
LCM(12176,12189) = 148413264 / 1
LCM(12176,12189) = 148413264

Least Common Multiple (LCM) of 12176 and 12189 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12176 and 12189. First we will calculate the prime factors of 12176 and 12189.

Prime Factorization of 12176

Prime factors of 12176 are 2, 761. Prime factorization of 12176 in exponential form is:

12176 = 24 × 7611

Prime Factorization of 12189

Prime factors of 12189 are 3, 17, 239. Prime factorization of 12189 in exponential form is:

12189 = 31 × 171 × 2391

Now multiplying the highest exponent prime factors to calculate the LCM of 12176 and 12189.

LCM(12176,12189) = 24 × 7611 × 31 × 171 × 2391
LCM(12176,12189) = 148413264