Least Common Multiple of 10423 and 10430

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

• Least Common Multiple of 10423 and 10430 by Prime method
• Least Common Multiple of 10423 and 10430 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 10423 and 10430. First we will calculate the prime factors of 10423 and 10430.

Prime Factorization of 10423

Prime factors of 10423 are 7,1489. Prime factorization of 10423 in exponential form is:

10423 = 7¹×1489¹

Prime Factorization of 10430

Prime factors of 10430 are 2, 5, 7,149. Prime factorization of 10430 in exponential form is:

10430 = 2¹×5¹×7¹×149¹

Now multiplying the highest exponent prime factors to calculate the LCM of 10423 and 10430.

LCM(10423,10430) = 2¹×5¹×7¹×149¹×1489¹
LCM(10423,10430) = 15530270

Factors of 10423

List of positive integer factors of 10423 that divides 10423 without a remainder.

1, 7, 1489, 10423

Factors of 10430

List of positive integer factors of 10430 that divides 10430 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 149, 298, 745, 1043, 1490, 2086, 5215, 10430

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10423 and 10430, than apply into the LCM equation.

GCF(10423,10430) = 7
LCM(10423,10430) = ( 10423 × 10430) / 7
LCM(10423,10430) = 108711890 / 7
LCM(10423,10430) = 15530270

(i) The LCM of 10430 and 10423 is associative

LCM of 10423 and 10430 = LCM of 10430 and 10423

1. What is the LCM of 10423 and 10430?

Answer: LCM of 10423 and 10430 is 15530270.

2. What are the Factors of 10423?

Answer: Factors of 10423 are 1, 7, 1489, 10423. There are 4 integers that are factors of 10423. The greatest factor of 10423 is 10423.

3. What are the Factors of 10430?

Answer: Factors of 10430 are 1, 2, 5, 7, 10, 14, 35, 70, 149, 298, 745, 1043, 1490, 2086, 5215, 10430. There are 16 integers that are factors of 10430. The greatest factor of 10430 is 10430.

4. How to Find the LCM of 10423 and 10430?

Answer:

Least Common Multiple of 10423 and 10430 = 15530270

Step 1: Find the prime factorization of 10423

10423 = 7 x 1489

Step 2: Find the prime factorization of 10430

10430 = 2 x 5 x 7 x 149

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

LCM = 15530270 = 2 x 5 x 7 x 149 x 1489

Step 4: Therefore, the least common multiple of 10423 and 10430 is 15530270.