Least Common Multiple of 3182 and 3188

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3182 and 3188 the smallest integer that is 5072108 that is divisible by both numbers.

Least Common Multiple (LCM) of 3182 and 3188 is 5072108.

LCM(3182,3188) = 5072108

LCM of 3182 and 3188

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

LCM of:
and

Least Common Multiple of 3182 and 3188

LCM of 3182 and 3188 is 5072108

Least common multiple can be found by multiplying the highest exponent prime factors of 3182 and 3188. First we will calculate the prime factors of 3182 and 3188.

Prime Factorization of 3182


2 3182
37 1591
43 43
1

Prime factors of 3182 are 2, 37,43. Prime factorization of 3182 in exponential form is:

3182 = 21×371×431

Prime Factorization of 3188


2 3188
2 1594
797 797
1

Prime factors of 3188 are 2,797. Prime factorization of 3188 in exponential form is:

3188 = 22×7971

Now multiplying the highest exponent prime factors to calculate the LCM of 3182 and 3188.

LCM(3182,3188) = 22×371×431×7971
LCM(3182,3188) = 5072108

Factors of 3182

List of positive integer factors of 3182 that divides 3182 without a remainder.

1, 2, 37, 43, 74, 86, 1591, 3182

Factors of 3188

List of positive integer factors of 3188 that divides 3188 without a remainder.

1, 2, 4, 797, 1594, 3188

Least Common Multiple of 3182 and 3188 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3182 and 3188, than apply into the LCM equation.

GCF(3182,3188) = 2
LCM(3182,3188) = ( 3182 × 3188) / 2
LCM(3182,3188) = 10144216 / 2
LCM(3182,3188) = 5072108

Properties of LCM 3182 and 3188

(i) The LCM of 3188 and 3182 is associative

LCM of 3182 and 3188 = LCM of 3188 and 3182

Related Least Common Multiples of 3182

Related Least Common Multiples of 3188

Frequently Asked Questions on LCM of 3182 and 3188

1. What is the LCM of 3182 and 3188?

Answer: LCM of 3182 and 3188 is 5072108.

2. What are the Factors of 3182?

Answer: Factors of 3182 are 1, 2, 37, 43, 74, 86, 1591, 3182. There are 8 integers that are factors of 3182. The greatest factor of 3182 is 3182.

3. What are the Factors of 3188?

Answer: Factors of 3188 are 1, 2, 4, 797, 1594, 3188. There are 6 integers that are factors of 3188. The greatest factor of 3188 is 3188.

4. How to Find the LCM of 3182 and 3188?

Answer:

Least Common Multiple of 3182 and 3188 = 5072108

Step 1: Find the prime factorization of 3182

3182 = 2 x 37 x 43

Step 2: Find the prime factorization of 3188

3188 = 2 x 2 x 797

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

LCM = 5072108 = 2 x 2 x 37 x 43 x 797

Step 4: Therefore, the least common multiple of 3182 and 3188 is 5072108.