Least Common Multiple of 12421 and 12426

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

• Least Common Multiple of 12421 and 12426 by Prime method
• Least Common Multiple of 12421 and 12426 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 12421 and 12426. First we will calculate the prime factors of 12421 and 12426.

Prime Factorization of 12421

Prime factors of 12421 are 12421. Prime factorization of 12421 in exponential form is:

12421 = 12421¹

Prime Factorization of 12426

Prime factors of 12426 are 2, 3, 19,109. Prime factorization of 12426 in exponential form is:

12426 = 2¹×3¹×19¹×109¹

Now multiplying the highest exponent prime factors to calculate the LCM of 12421 and 12426.

LCM(12421,12426) = 2¹×3¹×19¹×109¹×12421¹
LCM(12421,12426) = 154343346

Factors of 12421

List of positive integer factors of 12421 that divides 12421 without a remainder.

1, 12421

Factors of 12426

List of positive integer factors of 12426 that divides 12426 without a remainder.

1, 2, 3, 6, 19, 38, 57, 109, 114, 218, 327, 654, 2071, 4142, 6213, 12426

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12421 and 12426, than apply into the LCM equation.

GCF(12421,12426) = 1
LCM(12421,12426) = ( 12421 × 12426) / 1
LCM(12421,12426) = 154343346 / 1
LCM(12421,12426) = 154343346

(i) The LCM of 12426 and 12421 is associative

LCM of 12421 and 12426 = LCM of 12426 and 12421

1. What is the LCM of 12421 and 12426?

Answer: LCM of 12421 and 12426 is 154343346.

2. What are the Factors of 12421?

Answer: Factors of 12421 are 1, 12421. There are 2 integers that are factors of 12421. The greatest factor of 12421 is 12421.

3. What are the Factors of 12426?

Answer: Factors of 12426 are 1, 2, 3, 6, 19, 38, 57, 109, 114, 218, 327, 654, 2071, 4142, 6213, 12426. There are 16 integers that are factors of 12426. The greatest factor of 12426 is 12426.

4. How to Find the LCM of 12421 and 12426?

Answer:

Least Common Multiple of 12421 and 12426 = 154343346

Step 1: Find the prime factorization of 12421

12421 = 12421

Step 2: Find the prime factorization of 12426

12426 = 2 x 3 x 19 x 109

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 154343346 = 2 x 3 x 19 x 109 x 12421

Step 4: Therefore, the least common multiple of 12421 and 12426 is 154343346.