Least Common Multiple of 9149 and 9156

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9149 and 9156 the smallest integer that is 11966892 that is divisible by both numbers.

Least Common Multiple (LCM) of 9149 and 9156 is 11966892.

LCM(9149,9156) = 11966892

LCM of 9149 and 9156

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

LCM of:
and

Least Common Multiple of 9149 and 9156

LCM of 9149 and 9156 is 11966892

Least common multiple can be found by multiplying the highest exponent prime factors of 9149 and 9156. First we will calculate the prime factors of 9149 and 9156.

Prime Factorization of 9149


7 9149
1307 1307
1

Prime factors of 9149 are 7,1307. Prime factorization of 9149 in exponential form is:

9149 = 71×13071

Prime Factorization of 9156


2 9156
2 4578
3 2289
7 763
109 109
1

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 9149 and 9156.

LCM(9149,9156) = 22×31×71×1091×13071
LCM(9149,9156) = 11966892

Factors of 9149

List of positive integer factors of 9149 that divides 9149 without a remainder.

1, 7, 1307, 9149

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

Least Common Multiple of 9149 and 9156 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9149 and 9156, than apply into the LCM equation.

GCF(9149,9156) = 7
LCM(9149,9156) = ( 9149 × 9156) / 7
LCM(9149,9156) = 83768244 / 7
LCM(9149,9156) = 11966892

Properties of LCM 9149 and 9156

(i) The LCM of 9156 and 9149 is associative

LCM of 9149 and 9156 = LCM of 9156 and 9149

Related Least Common Multiples of 9149

Related Least Common Multiples of 9156

Frequently Asked Questions on LCM of 9149 and 9156

1. What is the LCM of 9149 and 9156?

Answer: LCM of 9149 and 9156 is 11966892.

2. What are the Factors of 9149?

Answer: Factors of 9149 are 1, 7, 1307, 9149. There are 4 integers that are factors of 9149. The greatest factor of 9149 is 9149.

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 9149 and 9156?

Answer:

Least Common Multiple of 9149 and 9156 = 11966892

Step 1: Find the prime factorization of 9149

9149 = 7 x 1307

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 = 11966892 = 2 x 2 x 3 x 7 x 109 x 1307

Step 4: Therefore, the least common multiple of 9149 and 9156 is 11966892.