Least Common Multiple of 3164 and 3169

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3164 and 3169 the smallest integer that is 10026716 that is divisible by both numbers.

Least Common Multiple (LCM) of 3164 and 3169 is 10026716.

LCM(3164,3169) = 10026716

LCM of 3164 and 3169

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

LCM of:
and

Least Common Multiple of 3164 and 3169

LCM of 3164 and 3169 is 10026716

Least common multiple can be found by multiplying the highest exponent prime factors of 3164 and 3169. First we will calculate the prime factors of 3164 and 3169.

Prime Factorization of 3164


2 3164
2 1582
7 791
113 113
1

Prime factors of 3164 are 2, 7,113. Prime factorization of 3164 in exponential form is:

3164 = 22×71×1131

Prime Factorization of 3169


3169 3169
1

Prime factors of 3169 are 3169. Prime factorization of 3169 in exponential form is:

3169 = 31691

Now multiplying the highest exponent prime factors to calculate the LCM of 3164 and 3169.

LCM(3164,3169) = 22×71×1131×31691
LCM(3164,3169) = 10026716

Factors of 3164

List of positive integer factors of 3164 that divides 3164 without a remainder.

1, 2, 4, 7, 14, 28, 113, 226, 452, 791, 1582, 3164

Factors of 3169

List of positive integer factors of 3169 that divides 3169 without a remainder.

1, 3169

Least Common Multiple of 3164 and 3169 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3164 and 3169, than apply into the LCM equation.

GCF(3164,3169) = 1
LCM(3164,3169) = ( 3164 × 3169) / 1
LCM(3164,3169) = 10026716 / 1
LCM(3164,3169) = 10026716

Properties of LCM 3164 and 3169

(i) The LCM of 3169 and 3164 is associative

LCM of 3164 and 3169 = LCM of 3169 and 3164

Related Least Common Multiples of 3164

Related Least Common Multiples of 3169

Frequently Asked Questions on LCM of 3164 and 3169

1. What is the LCM of 3164 and 3169?

Answer: LCM of 3164 and 3169 is 10026716.

2. What are the Factors of 3164?

Answer: Factors of 3164 are 1, 2, 4, 7, 14, 28, 113, 226, 452, 791, 1582, 3164. There are 12 integers that are factors of 3164. The greatest factor of 3164 is 3164.

3. What are the Factors of 3169?

Answer: Factors of 3169 are 1, 3169. There are 2 integers that are factors of 3169. The greatest factor of 3169 is 3169.

4. How to Find the LCM of 3164 and 3169?

Answer:

Least Common Multiple of 3164 and 3169 = 10026716

Step 1: Find the prime factorization of 3164

3164 = 2 x 2 x 7 x 113

Step 2: Find the prime factorization of 3169

3169 = 3169

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

LCM = 10026716 = 2 x 2 x 7 x 113 x 3169

Step 4: Therefore, the least common multiple of 3164 and 3169 is 10026716.