Least Common Multiple of 3158 and 3159

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 3159 the smallest integer that is 9976122 that is divisible by both numbers.

Least Common Multiple (LCM) of 3158 and 3159 is 9976122.

LCM(3158,3159) = 9976122

LCM of 3158 and 3159

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

LCM of:
and

Least Common Multiple of 3158 and 3159

LCM of 3158 and 3159 is 9976122

Least common multiple can be found by multiplying the highest exponent prime factors of 3158 and 3159. First we will calculate the prime factors of 3158 and 3159.

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 3159


3 3159
3 1053
3 351
3 117
3 39
13 13
1

Prime factors of 3159 are 3,13. Prime factorization of 3159 in exponential form is:

3159 = 35×131

Now multiplying the highest exponent prime factors to calculate the LCM of 3158 and 3159.

LCM(3158,3159) = 21×35×131×15791
LCM(3158,3159) = 9976122

Factors of 3158

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

1, 2, 1579, 3158

Factors of 3159

List of positive integer factors of 3159 that divides 3159 without a remainder.

1, 3, 9, 13, 27, 39, 81, 117, 243, 351, 1053, 3159

Least Common Multiple of 3158 and 3159 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 3159, than apply into the LCM equation.

GCF(3158,3159) = 1
LCM(3158,3159) = ( 3158 × 3159) / 1
LCM(3158,3159) = 9976122 / 1
LCM(3158,3159) = 9976122

Properties of LCM 3158 and 3159

(i) The LCM of 3159 and 3158 is associative

LCM of 3158 and 3159 = LCM of 3159 and 3158

Related Least Common Multiples of 3158

Related Least Common Multiples of 3159

Frequently Asked Questions on LCM of 3158 and 3159

1. What is the LCM of 3158 and 3159?

Answer: LCM of 3158 and 3159 is 9976122.

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 3159?

Answer: Factors of 3159 are 1, 3, 9, 13, 27, 39, 81, 117, 243, 351, 1053, 3159. There are 12 integers that are factors of 3159. The greatest factor of 3159 is 3159.

4. How to Find the LCM of 3158 and 3159?

Answer:

Least Common Multiple of 3158 and 3159 = 9976122

Step 1: Find the prime factorization of 3158

3158 = 2 x 1579

Step 2: Find the prime factorization of 3159

3159 = 3 x 3 x 3 x 3 x 3 x 13

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

LCM = 9976122 = 2 x 3 x 3 x 3 x 3 x 3 x 13 x 1579

Step 4: Therefore, the least common multiple of 3158 and 3159 is 9976122.