Least Common Multiple of 9164 and 9168

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 9168 the smallest integer that is 21003888 that is divisible by both numbers.

Least Common Multiple (LCM) of 9164 and 9168 is 21003888.

LCM(9164,9168) = 21003888

LCM of 9164 and 9168

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

LCM of:
and

Least Common Multiple of 9164 and 9168

LCM of 9164 and 9168 is 21003888

Least common multiple can be found by multiplying the highest exponent prime factors of 9164 and 9168. First we will calculate the prime factors of 9164 and 9168.

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 9168


2 9168
2 4584
2 2292
2 1146
3 573
191 191
1

Prime factors of 9168 are 2, 3,191. Prime factorization of 9168 in exponential form is:

9168 = 24×31×1911

Now multiplying the highest exponent prime factors to calculate the LCM of 9164 and 9168.

LCM(9164,9168) = 24×31×291×791×1911
LCM(9164,9168) = 21003888

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 9168

List of positive integer factors of 9168 that divides 9168 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 191, 382, 573, 764, 1146, 1528, 2292, 3056, 4584, 9168

Least Common Multiple of 9164 and 9168 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 9168, than apply into the LCM equation.

GCF(9164,9168) = 4
LCM(9164,9168) = ( 9164 × 9168) / 4
LCM(9164,9168) = 84015552 / 4
LCM(9164,9168) = 21003888

Properties of LCM 9164 and 9168

(i) The LCM of 9168 and 9164 is associative

LCM of 9164 and 9168 = LCM of 9168 and 9164

Related Least Common Multiples of 9164

Related Least Common Multiples of 9168

Frequently Asked Questions on LCM of 9164 and 9168

1. What is the LCM of 9164 and 9168?

Answer: LCM of 9164 and 9168 is 21003888.

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 9168?

Answer: Factors of 9168 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 191, 382, 573, 764, 1146, 1528, 2292, 3056, 4584, 9168. There are 20 integers that are factors of 9168. The greatest factor of 9168 is 9168.

4. How to Find the LCM of 9164 and 9168?

Answer:

Least Common Multiple of 9164 and 9168 = 21003888

Step 1: Find the prime factorization of 9164

9164 = 2 x 2 x 29 x 79

Step 2: Find the prime factorization of 9168

9168 = 2 x 2 x 2 x 2 x 3 x 191

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

LCM = 21003888 = 2 x 2 x 2 x 2 x 3 x 29 x 79 x 191

Step 4: Therefore, the least common multiple of 9164 and 9168 is 21003888.