Least Common Multiple of 9151 and 9156

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

• Least Common Multiple of 9151 and 9156 by Prime method
• Least Common Multiple of 9151 and 9156 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 9151 and 9156. First we will calculate the prime factors of 9151 and 9156.

Prime Factorization of 9151

Prime factors of 9151 are 9151. Prime factorization of 9151 in exponential form is:

9151 = 9151¹

Prime Factorization of 9156

Prime factors of 9156 are 2, 3, 7,109. Prime factorization of 9156 in exponential form is:

9156 = 2²×3¹×7¹×109¹

Now multiplying the highest exponent prime factors to calculate the LCM of 9151 and 9156.

LCM(9151,9156) = 2²×3¹×7¹×109¹×9151¹
LCM(9151,9156) = 83786556

Factors of 9151

List of positive integer factors of 9151 that divides 9151 without a remainder.

1, 9151

Factors of 9156

List of positive integer factors of 9156 that divides 9156 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 109, 218, 327, 436, 654, 763, 1308, 1526, 2289, 3052, 4578, 9156

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9151 and 9156, than apply into the LCM equation.

GCF(9151,9156) = 1
LCM(9151,9156) = ( 9151 × 9156) / 1
LCM(9151,9156) = 83786556 / 1
LCM(9151,9156) = 83786556

(i) The LCM of 9156 and 9151 is associative

LCM of 9151 and 9156 = LCM of 9156 and 9151

1. What is the LCM of 9151 and 9156?

Answer: LCM of 9151 and 9156 is 83786556.

2. What are the Factors of 9151?

Answer: Factors of 9151 are 1, 9151. There are 2 integers that are factors of 9151. The greatest factor of 9151 is 9151.

3. What are the Factors of 9156?

Answer: Factors of 9156 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 109, 218, 327, 436, 654, 763, 1308, 1526, 2289, 3052, 4578, 9156. There are 24 integers that are factors of 9156. The greatest factor of 9156 is 9156.

4. How to Find the LCM of 9151 and 9156?

Answer:

Least Common Multiple of 9151 and 9156 = 83786556

Step 1: Find the prime factorization of 9151

9151 = 9151

Step 2: Find the prime factorization of 9156

9156 = 2 x 2 x 3 x 7 x 109

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

LCM = 83786556 = 2 x 2 x 3 x 7 x 109 x 9151

Step 4: Therefore, the least common multiple of 9151 and 9156 is 83786556.