Least Common Multiple of 9594 and 9601

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

• Least Common Multiple of 9594 and 9601 by Prime method
• Least Common Multiple of 9594 and 9601 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 9594 and 9601. First we will calculate the prime factors of 9594 and 9601.

Prime Factorization of 9594

Prime factors of 9594 are 2, 3, 13,41. Prime factorization of 9594 in exponential form is:

9594 = 2¹×3²×13¹×41¹

Prime Factorization of 9601

Prime factors of 9601 are 9601. Prime factorization of 9601 in exponential form is:

9601 = 9601¹

Now multiplying the highest exponent prime factors to calculate the LCM of 9594 and 9601.

LCM(9594,9601) = 2¹×3²×13¹×41¹×9601¹
LCM(9594,9601) = 92111994

Factors of 9594

List of positive integer factors of 9594 that divides 9594 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 41, 78, 82, 117, 123, 234, 246, 369, 533, 738, 1066, 1599, 3198, 4797, 9594

Factors of 9601

List of positive integer factors of 9601 that divides 9601 without a remainder.

1, 9601

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9594 and 9601, than apply into the LCM equation.

GCF(9594,9601) = 1
LCM(9594,9601) = ( 9594 × 9601) / 1
LCM(9594,9601) = 92111994 / 1
LCM(9594,9601) = 92111994

(i) The LCM of 9601 and 9594 is associative

LCM of 9594 and 9601 = LCM of 9601 and 9594

1. What is the LCM of 9594 and 9601?

Answer: LCM of 9594 and 9601 is 92111994.

2. What are the Factors of 9594?

Answer: Factors of 9594 are 1, 2, 3, 6, 9, 13, 18, 26, 39, 41, 78, 82, 117, 123, 234, 246, 369, 533, 738, 1066, 1599, 3198, 4797, 9594. There are 24 integers that are factors of 9594. The greatest factor of 9594 is 9594.

3. What are the Factors of 9601?

Answer: Factors of 9601 are 1, 9601. There are 2 integers that are factors of 9601. The greatest factor of 9601 is 9601.

4. How to Find the LCM of 9594 and 9601?

Answer:

Least Common Multiple of 9594 and 9601 = 92111994

Step 1: Find the prime factorization of 9594

9594 = 2 x 3 x 3 x 13 x 41

Step 2: Find the prime factorization of 9601

9601 = 9601

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

LCM = 92111994 = 2 x 3 x 3 x 13 x 41 x 9601

Step 4: Therefore, the least common multiple of 9594 and 9601 is 92111994.