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What is the Least Common Multiple of 12143 and 12150?

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 12143 and 12150 is 147537450.

LCM(12143,12150) = 147537450

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Least Common Multiple of 12143 and 12150 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12143 and 12150, than apply into the LCM equation.

GCF(12143,12150) = 1
LCM(12143,12150) = ( 12143 × 12150) / 1
LCM(12143,12150) = 147537450 / 1
LCM(12143,12150) = 147537450

Least Common Multiple (LCM) of 12143 and 12150 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12143 and 12150. First we will calculate the prime factors of 12143 and 12150.

Prime Factorization of 12143

Prime factors of 12143 are 12143. Prime factorization of 12143 in exponential form is:

12143 = 121431

Prime Factorization of 12150

Prime factors of 12150 are 2, 3, 5. Prime factorization of 12150 in exponential form is:

12150 = 21 × 35 × 52

Now multiplying the highest exponent prime factors to calculate the LCM of 12143 and 12150.

LCM(12143,12150) = 121431 × 21 × 35 × 52
LCM(12143,12150) = 147537450