Least Common Multiple of 9164 and 9172

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9164 and 9172 the smallest integer that is 21013052 that is divisible by both numbers.

Least Common Multiple (LCM) of 9164 and 9172 is 21013052.

LCM(9164,9172) = 21013052

LCM of 9164 and 9172

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

LCM of:
and

Least Common Multiple of 9164 and 9172

LCM of 9164 and 9172 is 21013052

Least common multiple can be found by multiplying the highest exponent prime factors of 9164 and 9172. First we will calculate the prime factors of 9164 and 9172.

Prime Factorization of 9164


2 9164
2 4582
29 2291
79 79
1

Prime factors of 9164 are 2, 29,79. Prime factorization of 9164 in exponential form is:

9164 = 22×291×791

Prime Factorization of 9172


2 9172
2 4586
2293 2293
1

Prime factors of 9172 are 2,2293. Prime factorization of 9172 in exponential form is:

9172 = 22×22931

Now multiplying the highest exponent prime factors to calculate the LCM of 9164 and 9172.

LCM(9164,9172) = 22×291×791×22931
LCM(9164,9172) = 21013052

Factors of 9164

List of positive integer factors of 9164 that divides 9164 without a remainder.

1, 2, 4, 29, 58, 79, 116, 158, 316, 2291, 4582, 9164

Factors of 9172

List of positive integer factors of 9172 that divides 9172 without a remainder.

1, 2, 4, 2293, 4586, 9172

Least Common Multiple of 9164 and 9172 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9164 and 9172, than apply into the LCM equation.

GCF(9164,9172) = 4
LCM(9164,9172) = ( 9164 × 9172) / 4
LCM(9164,9172) = 84052208 / 4
LCM(9164,9172) = 21013052

Properties of LCM 9164 and 9172

(i) The LCM of 9172 and 9164 is associative

LCM of 9164 and 9172 = LCM of 9172 and 9164

Related Least Common Multiples of 9164

Related Least Common Multiples of 9172

Frequently Asked Questions on LCM of 9164 and 9172

1. What is the LCM of 9164 and 9172?

Answer: LCM of 9164 and 9172 is 21013052.

2. What are the Factors of 9164?

Answer: Factors of 9164 are 1, 2, 4, 29, 58, 79, 116, 158, 316, 2291, 4582, 9164. There are 12 integers that are factors of 9164. The greatest factor of 9164 is 9164.

3. What are the Factors of 9172?

Answer: Factors of 9172 are 1, 2, 4, 2293, 4586, 9172. There are 6 integers that are factors of 9172. The greatest factor of 9172 is 9172.

4. How to Find the LCM of 9164 and 9172?

Answer:

Least Common Multiple of 9164 and 9172 = 21013052

Step 1: Find the prime factorization of 9164

9164 = 2 x 2 x 29 x 79

Step 2: Find the prime factorization of 9172

9172 = 2 x 2 x 2293

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

LCM = 21013052 = 2 x 2 x 29 x 79 x 2293

Step 4: Therefore, the least common multiple of 9164 and 9172 is 21013052.