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What is the Least Common Multiple of 12172 and 12176?

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 12172 and 12176 is 37051568.

LCM(12172,12176) = 37051568

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Least Common Multiple of 12172 and 12176 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12172 and 12176, than apply into the LCM equation.

GCF(12172,12176) = 4
LCM(12172,12176) = ( 12172 × 12176) / 4
LCM(12172,12176) = 148206272 / 4
LCM(12172,12176) = 37051568

Least Common Multiple (LCM) of 12172 and 12176 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12172 and 12176. First we will calculate the prime factors of 12172 and 12176.

Prime Factorization of 12172

Prime factors of 12172 are 2, 17, 179. Prime factorization of 12172 in exponential form is:

12172 = 22 × 171 × 1791

Prime Factorization of 12176

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

12176 = 24 × 7611

Now multiplying the highest exponent prime factors to calculate the LCM of 12172 and 12176.

LCM(12172,12176) = 24 × 171 × 1791 × 7611
LCM(12172,12176) = 37051568