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What is the Least Common Multiple of 12132 and 12140?

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 12132 and 12140 is 36820620.

LCM(12132,12140) = 36820620

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Least Common Multiple of 12132 and 12140 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12132 and 12140, than apply into the LCM equation.

GCF(12132,12140) = 4
LCM(12132,12140) = ( 12132 × 12140) / 4
LCM(12132,12140) = 147282480 / 4
LCM(12132,12140) = 36820620

Least Common Multiple (LCM) of 12132 and 12140 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12132 and 12140. First we will calculate the prime factors of 12132 and 12140.

Prime Factorization of 12132

Prime factors of 12132 are 2, 3, 337. Prime factorization of 12132 in exponential form is:

12132 = 22 × 32 × 3371

Prime Factorization of 12140

Prime factors of 12140 are 2, 5, 607. Prime factorization of 12140 in exponential form is:

12140 = 22 × 51 × 6071

Now multiplying the highest exponent prime factors to calculate the LCM of 12132 and 12140.

LCM(12132,12140) = 22 × 32 × 3371 × 51 × 6071
LCM(12132,12140) = 36820620