Least Common Multiple of 9629 and 9636

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

• Least Common Multiple of 9629 and 9636 by Prime method
• Least Common Multiple of 9629 and 9636 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 9629 and 9636. First we will calculate the prime factors of 9629 and 9636.

Prime Factorization of 9629

Prime factors of 9629 are 9629. Prime factorization of 9629 in exponential form is:

9629 = 9629¹

Prime Factorization of 9636

Prime factors of 9636 are 2, 3, 11,73. Prime factorization of 9636 in exponential form is:

9636 = 2²×3¹×11¹×73¹

Now multiplying the highest exponent prime factors to calculate the LCM of 9629 and 9636.

LCM(9629,9636) = 2²×3¹×11¹×73¹×9629¹
LCM(9629,9636) = 92785044

Factors of 9629

List of positive integer factors of 9629 that divides 9629 without a remainder.

1, 9629

Factors of 9636

List of positive integer factors of 9636 that divides 9636 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 73, 132, 146, 219, 292, 438, 803, 876, 1606, 2409, 3212, 4818, 9636

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9629 and 9636, than apply into the LCM equation.

GCF(9629,9636) = 1
LCM(9629,9636) = ( 9629 × 9636) / 1
LCM(9629,9636) = 92785044 / 1
LCM(9629,9636) = 92785044

(i) The LCM of 9636 and 9629 is associative

LCM of 9629 and 9636 = LCM of 9636 and 9629

1. What is the LCM of 9629 and 9636?

Answer: LCM of 9629 and 9636 is 92785044.

2. What are the Factors of 9629?

Answer: Factors of 9629 are 1, 9629. There are 2 integers that are factors of 9629. The greatest factor of 9629 is 9629.

3. What are the Factors of 9636?

Answer: Factors of 9636 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 73, 132, 146, 219, 292, 438, 803, 876, 1606, 2409, 3212, 4818, 9636. There are 24 integers that are factors of 9636. The greatest factor of 9636 is 9636.

4. How to Find the LCM of 9629 and 9636?

Answer:

Least Common Multiple of 9629 and 9636 = 92785044

Step 1: Find the prime factorization of 9629

9629 = 9629

Step 2: Find the prime factorization of 9636

9636 = 2 x 2 x 3 x 11 x 73

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

LCM = 92785044 = 2 x 2 x 3 x 11 x 73 x 9629

Step 4: Therefore, the least common multiple of 9629 and 9636 is 92785044.