Least Common Multiple of 9148 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 9148 and 9156 the smallest integer that is 20939772 that is divisible by both numbers.

Least Common Multiple (LCM) of 9148 and 9156 is 20939772.

LCM(9148,9156) = 20939772

LCM of 9148 and 9156

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

LCM of:
and

Least Common Multiple of 9148 and 9156

LCM of 9148 and 9156 is 20939772

Least common multiple can be found by multiplying the highest exponent prime factors of 9148 and 9156. First we will calculate the prime factors of 9148 and 9156.

Prime Factorization of 9148


2 9148
2 4574
2287 2287
1

Prime factors of 9148 are 2,2287. Prime factorization of 9148 in exponential form is:

9148 = 22×22871

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 9148 and 9156.

LCM(9148,9156) = 22×31×71×1091×22871
LCM(9148,9156) = 20939772

Factors of 9148

List of positive integer factors of 9148 that divides 9148 without a remainder.

1, 2, 4, 2287, 4574, 9148

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 9148 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 9148 and 9156, than apply into the LCM equation.

GCF(9148,9156) = 4
LCM(9148,9156) = ( 9148 × 9156) / 4
LCM(9148,9156) = 83759088 / 4
LCM(9148,9156) = 20939772

Properties of LCM 9148 and 9156

(i) The LCM of 9156 and 9148 is associative

LCM of 9148 and 9156 = LCM of 9156 and 9148

Related Least Common Multiples of 9148

Related Least Common Multiples of 9156

Frequently Asked Questions on LCM of 9148 and 9156

1. What is the LCM of 9148 and 9156?

Answer: LCM of 9148 and 9156 is 20939772.

2. What are the Factors of 9148?

Answer: Factors of 9148 are 1, 2, 4, 2287, 4574, 9148. There are 6 integers that are factors of 9148. The greatest factor of 9148 is 9148.

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 9148 and 9156?

Answer:

Least Common Multiple of 9148 and 9156 = 20939772

Step 1: Find the prime factorization of 9148

9148 = 2 x 2 x 2287

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 = 20939772 = 2 x 2 x 3 x 7 x 109 x 2287

Step 4: Therefore, the least common multiple of 9148 and 9156 is 20939772.