Least Common Multiple of 3161 and 3163

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 3163 the smallest integer that is 9998243 that is divisible by both numbers.

Least Common Multiple (LCM) of 3161 and 3163 is 9998243.

LCM(3161,3163) = 9998243

LCM of 3161 and 3163

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

LCM of:
and

Least Common Multiple of 3161 and 3163

LCM of 3161 and 3163 is 9998243

Least common multiple can be found by multiplying the highest exponent prime factors of 3161 and 3163. First we will calculate the prime factors of 3161 and 3163.

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 3163


3163 3163
1

Prime factors of 3163 are 3163. Prime factorization of 3163 in exponential form is:

3163 = 31631

Now multiplying the highest exponent prime factors to calculate the LCM of 3161 and 3163.

LCM(3161,3163) = 291×1091×31631
LCM(3161,3163) = 9998243

Factors of 3161

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

1, 29, 109, 3161

Factors of 3163

List of positive integer factors of 3163 that divides 3163 without a remainder.

1, 3163

Least Common Multiple of 3161 and 3163 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 3163, than apply into the LCM equation.

GCF(3161,3163) = 1
LCM(3161,3163) = ( 3161 × 3163) / 1
LCM(3161,3163) = 9998243 / 1
LCM(3161,3163) = 9998243

Properties of LCM 3161 and 3163

(i) The LCM of 3163 and 3161 is associative

LCM of 3161 and 3163 = LCM of 3163 and 3161

Related Least Common Multiples of 3161

Related Least Common Multiples of 3163

Frequently Asked Questions on LCM of 3161 and 3163

1. What is the LCM of 3161 and 3163?

Answer: LCM of 3161 and 3163 is 9998243.

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 3163?

Answer: Factors of 3163 are 1, 3163. There are 2 integers that are factors of 3163. The greatest factor of 3163 is 3163.

4. How to Find the LCM of 3161 and 3163?

Answer:

Least Common Multiple of 3161 and 3163 = 9998243

Step 1: Find the prime factorization of 3161

3161 = 29 x 109

Step 2: Find the prime factorization of 3163

3163 = 3163

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

LCM = 9998243 = 29 x 109 x 3163

Step 4: Therefore, the least common multiple of 3161 and 3163 is 9998243.