Least Common Multiple of 3172 and 3175

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3172 and 3175 the smallest integer that is 10071100 that is divisible by both numbers.

Least Common Multiple (LCM) of 3172 and 3175 is 10071100.

LCM(3172,3175) = 10071100

LCM of 3172 and 3175

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

LCM of:
and

Least Common Multiple of 3172 and 3175

LCM of 3172 and 3175 is 10071100

Least common multiple can be found by multiplying the highest exponent prime factors of 3172 and 3175. First we will calculate the prime factors of 3172 and 3175.

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

Prime Factorization of 3175


5 3175
5 635
127 127
1

Prime factors of 3175 are 5,127. Prime factorization of 3175 in exponential form is:

3175 = 52×1271

Now multiplying the highest exponent prime factors to calculate the LCM of 3172 and 3175.

LCM(3172,3175) = 22×52×131×611×1271
LCM(3172,3175) = 10071100

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

Factors of 3175

List of positive integer factors of 3175 that divides 3175 without a remainder.

1, 5, 25, 127, 635, 3175

Least Common Multiple of 3172 and 3175 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3172 and 3175, than apply into the LCM equation.

GCF(3172,3175) = 1
LCM(3172,3175) = ( 3172 × 3175) / 1
LCM(3172,3175) = 10071100 / 1
LCM(3172,3175) = 10071100

Properties of LCM 3172 and 3175

(i) The LCM of 3175 and 3172 is associative

LCM of 3172 and 3175 = LCM of 3175 and 3172

Related Least Common Multiples of 3172

Related Least Common Multiples of 3175

Frequently Asked Questions on LCM of 3172 and 3175

1. What is the LCM of 3172 and 3175?

Answer: LCM of 3172 and 3175 is 10071100.

2. 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.

3. What are the Factors of 3175?

Answer: Factors of 3175 are 1, 5, 25, 127, 635, 3175. There are 6 integers that are factors of 3175. The greatest factor of 3175 is 3175.

4. How to Find the LCM of 3172 and 3175?

Answer:

Least Common Multiple of 3172 and 3175 = 10071100

Step 1: Find the prime factorization of 3172

3172 = 2 x 2 x 13 x 61

Step 2: Find the prime factorization of 3175

3175 = 5 x 5 x 127

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

LCM = 10071100 = 2 x 2 x 5 x 5 x 13 x 61 x 127

Step 4: Therefore, the least common multiple of 3172 and 3175 is 10071100.