Least Common Multiple of 3164 and 3172

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 3172 the smallest integer that is 2509052 that is divisible by both numbers.

Least Common Multiple (LCM) of 3164 and 3172 is 2509052.

LCM(3164,3172) = 2509052

LCM of 3164 and 3172

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

LCM of:
and

Least Common Multiple of 3164 and 3172

LCM of 3164 and 3172 is 2509052

Least common multiple can be found by multiplying the highest exponent prime factors of 3164 and 3172. First we will calculate the prime factors of 3164 and 3172.

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 3172


2 3172
2 1586
13 793
61 61
1

Prime factors of 3172 are 2, 13,61. Prime factorization of 3172 in exponential form is:

3172 = 22×131×611

Now multiplying the highest exponent prime factors to calculate the LCM of 3164 and 3172.

LCM(3164,3172) = 22×71×131×611×1131
LCM(3164,3172) = 2509052

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 3172

List of positive integer factors of 3172 that divides 3172 without a remainder.

1, 2, 4, 13, 26, 52, 61, 122, 244, 793, 1586, 3172

Least Common Multiple of 3164 and 3172 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 3172, than apply into the LCM equation.

GCF(3164,3172) = 4
LCM(3164,3172) = ( 3164 × 3172) / 4
LCM(3164,3172) = 10036208 / 4
LCM(3164,3172) = 2509052

Properties of LCM 3164 and 3172

(i) The LCM of 3172 and 3164 is associative

LCM of 3164 and 3172 = LCM of 3172 and 3164

Related Least Common Multiples of 3164

Related Least Common Multiples of 3172

Frequently Asked Questions on LCM of 3164 and 3172

1. What is the LCM of 3164 and 3172?

Answer: LCM of 3164 and 3172 is 2509052.

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 3172?

Answer: Factors of 3172 are 1, 2, 4, 13, 26, 52, 61, 122, 244, 793, 1586, 3172. There are 12 integers that are factors of 3172. The greatest factor of 3172 is 3172.

4. How to Find the LCM of 3164 and 3172?

Answer:

Least Common Multiple of 3164 and 3172 = 2509052

Step 1: Find the prime factorization of 3164

3164 = 2 x 2 x 7 x 113

Step 2: Find the prime factorization of 3172

3172 = 2 x 2 x 13 x 61

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

LCM = 2509052 = 2 x 2 x 7 x 13 x 61 x 113

Step 4: Therefore, the least common multiple of 3164 and 3172 is 2509052.