Least Common Multiple of 3161 and 3168

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3161 and 3168 the smallest integer that is 10014048 that is divisible by both numbers.

Least Common Multiple (LCM) of 3161 and 3168 is 10014048.

LCM(3161,3168) = 10014048

LCM of 3161 and 3168

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

LCM of:
and

Least Common Multiple of 3161 and 3168

LCM of 3161 and 3168 is 10014048

Least common multiple can be found by multiplying the highest exponent prime factors of 3161 and 3168. First we will calculate the prime factors of 3161 and 3168.

Prime Factorization of 3161


29 3161
109 109
1

Prime factors of 3161 are 29,109. Prime factorization of 3161 in exponential form is:

3161 = 291×1091

Prime Factorization of 3168


2 3168
2 1584
2 792
2 396
2 198
3 99
3 33
11 11
1

Prime factors of 3168 are 2, 3,11. Prime factorization of 3168 in exponential form is:

3168 = 25×32×111

Now multiplying the highest exponent prime factors to calculate the LCM of 3161 and 3168.

LCM(3161,3168) = 25×32×111×291×1091
LCM(3161,3168) = 10014048

Factors of 3161

List of positive integer factors of 3161 that divides 3161 without a remainder.

1, 29, 109, 3161

Factors of 3168

List of positive integer factors of 3168 that divides 3168 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 32, 33, 36, 44, 48, 66, 72, 88, 96, 99, 132, 144, 176, 198, 264, 288, 352, 396, 528, 792, 1056, 1584, 3168

Least Common Multiple of 3161 and 3168 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3161 and 3168, than apply into the LCM equation.

GCF(3161,3168) = 1
LCM(3161,3168) = ( 3161 × 3168) / 1
LCM(3161,3168) = 10014048 / 1
LCM(3161,3168) = 10014048

Properties of LCM 3161 and 3168

(i) The LCM of 3168 and 3161 is associative

LCM of 3161 and 3168 = LCM of 3168 and 3161

Related Least Common Multiples of 3161

Related Least Common Multiples of 3168

Frequently Asked Questions on LCM of 3161 and 3168

1. What is the LCM of 3161 and 3168?

Answer: LCM of 3161 and 3168 is 10014048.

2. What are the Factors of 3161?

Answer: Factors of 3161 are 1, 29, 109, 3161. There are 4 integers that are factors of 3161. The greatest factor of 3161 is 3161.

3. What are the Factors of 3168?

Answer: Factors of 3168 are 1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 32, 33, 36, 44, 48, 66, 72, 88, 96, 99, 132, 144, 176, 198, 264, 288, 352, 396, 528, 792, 1056, 1584, 3168. There are 36 integers that are factors of 3168. The greatest factor of 3168 is 3168.

4. How to Find the LCM of 3161 and 3168?

Answer:

Least Common Multiple of 3161 and 3168 = 10014048

Step 1: Find the prime factorization of 3161

3161 = 29 x 109

Step 2: Find the prime factorization of 3168

3168 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 11

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

LCM = 10014048 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 11 x 29 x 109

Step 4: Therefore, the least common multiple of 3161 and 3168 is 10014048.