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What is the Least Common Multiple of 12172 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 12172 and 12182 is 74139652.

LCM(12172,12182) = 74139652

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Least Common Multiple of 12172 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 12172 and 12182, than apply into the LCM equation.

GCF(12172,12182) = 2
LCM(12172,12182) = ( 12172 × 12182) / 2
LCM(12172,12182) = 148279304 / 2
LCM(12172,12182) = 74139652

Least Common Multiple (LCM) of 12172 and 12182 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12172 and 12182. First we will calculate the prime factors of 12172 and 12182.

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 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 12172 and 12182.

LCM(12172,12182) = 22 × 171 × 1791 × 60911
LCM(12172,12182) = 74139652