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What is the Least Common Multiple of 12127 and 12141?

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 12127 and 12141 is 147233907.

LCM(12127,12141) = 147233907

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Least Common Multiple of 12127 and 12141 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12127 and 12141, than apply into the LCM equation.

GCF(12127,12141) = 1
LCM(12127,12141) = ( 12127 × 12141) / 1
LCM(12127,12141) = 147233907 / 1
LCM(12127,12141) = 147233907

Least Common Multiple (LCM) of 12127 and 12141 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12127 and 12141. First we will calculate the prime factors of 12127 and 12141.

Prime Factorization of 12127

Prime factors of 12127 are 67, 181. Prime factorization of 12127 in exponential form is:

12127 = 671 × 1811

Prime Factorization of 12141

Prime factors of 12141 are 3, 19, 71. Prime factorization of 12141 in exponential form is:

12141 = 32 × 191 × 711

Now multiplying the highest exponent prime factors to calculate the LCM of 12127 and 12141.

LCM(12127,12141) = 671 × 1811 × 32 × 191 × 711
LCM(12127,12141) = 147233907