Least Common Multiple of 12415 and 12423

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

• Least Common Multiple of 12415 and 12423 by Prime method
• Least Common Multiple of 12415 and 12423 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 12415 and 12423. First we will calculate the prime factors of 12415 and 12423.

Prime Factorization of 12415

Prime factors of 12415 are 5, 13,191. Prime factorization of 12415 in exponential form is:

12415 = 5¹×13¹×191¹

Prime Factorization of 12423

Prime factors of 12423 are 3, 41,101. Prime factorization of 12423 in exponential form is:

12423 = 3¹×41¹×101¹

Now multiplying the highest exponent prime factors to calculate the LCM of 12415 and 12423.

LCM(12415,12423) = 3¹×5¹×13¹×41¹×101¹×191¹
LCM(12415,12423) = 154231545

Factors of 12415

List of positive integer factors of 12415 that divides 12415 without a remainder.

1, 5, 13, 65, 191, 955, 2483, 12415

Factors of 12423

List of positive integer factors of 12423 that divides 12423 without a remainder.

1, 3, 41, 101, 123, 303, 4141, 12423

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12415 and 12423, than apply into the LCM equation.

GCF(12415,12423) = 1
LCM(12415,12423) = ( 12415 × 12423) / 1
LCM(12415,12423) = 154231545 / 1
LCM(12415,12423) = 154231545

(i) The LCM of 12423 and 12415 is associative

LCM of 12415 and 12423 = LCM of 12423 and 12415

1. What is the LCM of 12415 and 12423?

Answer: LCM of 12415 and 12423 is 154231545.

2. What are the Factors of 12415?

Answer: Factors of 12415 are 1, 5, 13, 65, 191, 955, 2483, 12415. There are 8 integers that are factors of 12415. The greatest factor of 12415 is 12415.

3. What are the Factors of 12423?

Answer: Factors of 12423 are 1, 3, 41, 101, 123, 303, 4141, 12423. There are 8 integers that are factors of 12423. The greatest factor of 12423 is 12423.

4. How to Find the LCM of 12415 and 12423?

Answer:

Least Common Multiple of 12415 and 12423 = 154231545

Step 1: Find the prime factorization of 12415

12415 = 5 x 13 x 191

Step 2: Find the prime factorization of 12423

12423 = 3 x 41 x 101

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

LCM = 154231545 = 3 x 5 x 13 x 41 x 101 x 191

Step 4: Therefore, the least common multiple of 12415 and 12423 is 154231545.