Least Common Multiple of 9623 and 9630

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

• Least Common Multiple of 9623 and 9630 by Prime method
• Least Common Multiple of 9623 and 9630 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 9623 and 9630. First we will calculate the prime factors of 9623 and 9630.

Prime Factorization of 9623

Prime factors of 9623 are 9623. Prime factorization of 9623 in exponential form is:

9623 = 9623¹

Prime Factorization of 9630

Prime factors of 9630 are 2, 3, 5,107. Prime factorization of 9630 in exponential form is:

9630 = 2¹×3²×5¹×107¹

Now multiplying the highest exponent prime factors to calculate the LCM of 9623 and 9630.

LCM(9623,9630) = 2¹×3²×5¹×107¹×9623¹
LCM(9623,9630) = 92669490

Factors of 9623

List of positive integer factors of 9623 that divides 9623 without a remainder.

1, 9623

Factors of 9630

List of positive integer factors of 9630 that divides 9630 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 107, 214, 321, 535, 642, 963, 1070, 1605, 1926, 3210, 4815, 9630

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9623 and 9630, than apply into the LCM equation.

GCF(9623,9630) = 1
LCM(9623,9630) = ( 9623 × 9630) / 1
LCM(9623,9630) = 92669490 / 1
LCM(9623,9630) = 92669490

(i) The LCM of 9630 and 9623 is associative

LCM of 9623 and 9630 = LCM of 9630 and 9623

1. What is the LCM of 9623 and 9630?

Answer: LCM of 9623 and 9630 is 92669490.

2. What are the Factors of 9623?

Answer: Factors of 9623 are 1, 9623. There are 2 integers that are factors of 9623. The greatest factor of 9623 is 9623.

3. What are the Factors of 9630?

Answer: Factors of 9630 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 107, 214, 321, 535, 642, 963, 1070, 1605, 1926, 3210, 4815, 9630. There are 24 integers that are factors of 9630. The greatest factor of 9630 is 9630.

4. How to Find the LCM of 9623 and 9630?

Answer:

Least Common Multiple of 9623 and 9630 = 92669490

Step 1: Find the prime factorization of 9623

9623 = 9623

Step 2: Find the prime factorization of 9630

9630 = 2 x 3 x 3 x 5 x 107

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

LCM = 92669490 = 2 x 3 x 3 x 5 x 107 x 9623

Step 4: Therefore, the least common multiple of 9623 and 9630 is 92669490.