Least Common Multiple of 3164 and 3171

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 3171 the smallest integer that is 1433292 that is divisible by both numbers.

Least Common Multiple (LCM) of 3164 and 3171 is 1433292.

LCM(3164,3171) = 1433292

LCM of 3164 and 3171

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

LCM of:
and

Least Common Multiple of 3164 and 3171

LCM of 3164 and 3171 is 1433292

Least common multiple can be found by multiplying the highest exponent prime factors of 3164 and 3171. First we will calculate the prime factors of 3164 and 3171.

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 3171


3 3171
7 1057
151 151
1

Prime factors of 3171 are 3, 7,151. Prime factorization of 3171 in exponential form is:

3171 = 31×71×1511

Now multiplying the highest exponent prime factors to calculate the LCM of 3164 and 3171.

LCM(3164,3171) = 22×31×71×1131×1511
LCM(3164,3171) = 1433292

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 3171

List of positive integer factors of 3171 that divides 3171 without a remainder.

1, 3, 7, 21, 151, 453, 1057, 3171

Least Common Multiple of 3164 and 3171 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 3171, than apply into the LCM equation.

GCF(3164,3171) = 7
LCM(3164,3171) = ( 3164 × 3171) / 7
LCM(3164,3171) = 10033044 / 7
LCM(3164,3171) = 1433292

Properties of LCM 3164 and 3171

(i) The LCM of 3171 and 3164 is associative

LCM of 3164 and 3171 = LCM of 3171 and 3164

Related Least Common Multiples of 3164

Related Least Common Multiples of 3171

Frequently Asked Questions on LCM of 3164 and 3171

1. What is the LCM of 3164 and 3171?

Answer: LCM of 3164 and 3171 is 1433292.

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 3171?

Answer: Factors of 3171 are 1, 3, 7, 21, 151, 453, 1057, 3171. There are 8 integers that are factors of 3171. The greatest factor of 3171 is 3171.

4. How to Find the LCM of 3164 and 3171?

Answer:

Least Common Multiple of 3164 and 3171 = 1433292

Step 1: Find the prime factorization of 3164

3164 = 2 x 2 x 7 x 113

Step 2: Find the prime factorization of 3171

3171 = 3 x 7 x 151

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

LCM = 1433292 = 2 x 2 x 3 x 7 x 113 x 151

Step 4: Therefore, the least common multiple of 3164 and 3171 is 1433292.