Least Common Multiple of 3158 and 3162

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3158 and 3162 the smallest integer that is 4992798 that is divisible by both numbers.

Least Common Multiple (LCM) of 3158 and 3162 is 4992798.

LCM(3158,3162) = 4992798

LCM of 3158 and 3162

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

LCM of:
and

Least Common Multiple of 3158 and 3162

LCM of 3158 and 3162 is 4992798

Least common multiple can be found by multiplying the highest exponent prime factors of 3158 and 3162. First we will calculate the prime factors of 3158 and 3162.

Prime Factorization of 3158


2 3158
1579 1579
1

Prime factors of 3158 are 2,1579. Prime factorization of 3158 in exponential form is:

3158 = 21×15791

Prime Factorization of 3162


2 3162
3 1581
17 527
31 31
1

Prime factors of 3162 are 2, 3, 17,31. Prime factorization of 3162 in exponential form is:

3162 = 21×31×171×311

Now multiplying the highest exponent prime factors to calculate the LCM of 3158 and 3162.

LCM(3158,3162) = 21×31×171×311×15791
LCM(3158,3162) = 4992798

Factors of 3158

List of positive integer factors of 3158 that divides 3158 without a remainder.

1, 2, 1579, 3158

Factors of 3162

List of positive integer factors of 3162 that divides 3162 without a remainder.

1, 2, 3, 6, 17, 31, 34, 51, 62, 93, 102, 186, 527, 1054, 1581, 3162

Least Common Multiple of 3158 and 3162 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3158 and 3162, than apply into the LCM equation.

GCF(3158,3162) = 2
LCM(3158,3162) = ( 3158 × 3162) / 2
LCM(3158,3162) = 9985596 / 2
LCM(3158,3162) = 4992798

Properties of LCM 3158 and 3162

(i) The LCM of 3162 and 3158 is associative

LCM of 3158 and 3162 = LCM of 3162 and 3158

Related Least Common Multiples of 3158

Related Least Common Multiples of 3162

Frequently Asked Questions on LCM of 3158 and 3162

1. What is the LCM of 3158 and 3162?

Answer: LCM of 3158 and 3162 is 4992798.

2. What are the Factors of 3158?

Answer: Factors of 3158 are 1, 2, 1579, 3158. There are 4 integers that are factors of 3158. The greatest factor of 3158 is 3158.

3. What are the Factors of 3162?

Answer: Factors of 3162 are 1, 2, 3, 6, 17, 31, 34, 51, 62, 93, 102, 186, 527, 1054, 1581, 3162. There are 16 integers that are factors of 3162. The greatest factor of 3162 is 3162.

4. How to Find the LCM of 3158 and 3162?

Answer:

Least Common Multiple of 3158 and 3162 = 4992798

Step 1: Find the prime factorization of 3158

3158 = 2 x 1579

Step 2: Find the prime factorization of 3162

3162 = 2 x 3 x 17 x 31

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

LCM = 4992798 = 2 x 3 x 17 x 31 x 1579

Step 4: Therefore, the least common multiple of 3158 and 3162 is 4992798.