Least Common Multiple of 3158 and 3165

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 3165 the smallest integer that is 9995070 that is divisible by both numbers.

Least Common Multiple (LCM) of 3158 and 3165 is 9995070.

LCM(3158,3165) = 9995070

LCM of 3158 and 3165

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

LCM of:
and

Least Common Multiple of 3158 and 3165

LCM of 3158 and 3165 is 9995070

Least common multiple can be found by multiplying the highest exponent prime factors of 3158 and 3165. First we will calculate the prime factors of 3158 and 3165.

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 3165


3 3165
5 1055
211 211
1

Prime factors of 3165 are 3, 5,211. Prime factorization of 3165 in exponential form is:

3165 = 31×51×2111

Now multiplying the highest exponent prime factors to calculate the LCM of 3158 and 3165.

LCM(3158,3165) = 21×31×51×2111×15791
LCM(3158,3165) = 9995070

Factors of 3158

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

1, 2, 1579, 3158

Factors of 3165

List of positive integer factors of 3165 that divides 3165 without a remainder.

1, 3, 5, 15, 211, 633, 1055, 3165

Least Common Multiple of 3158 and 3165 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 3165, than apply into the LCM equation.

GCF(3158,3165) = 1
LCM(3158,3165) = ( 3158 × 3165) / 1
LCM(3158,3165) = 9995070 / 1
LCM(3158,3165) = 9995070

Properties of LCM 3158 and 3165

(i) The LCM of 3165 and 3158 is associative

LCM of 3158 and 3165 = LCM of 3165 and 3158

Related Least Common Multiples of 3158

Related Least Common Multiples of 3165

Frequently Asked Questions on LCM of 3158 and 3165

1. What is the LCM of 3158 and 3165?

Answer: LCM of 3158 and 3165 is 9995070.

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 3165?

Answer: Factors of 3165 are 1, 3, 5, 15, 211, 633, 1055, 3165. There are 8 integers that are factors of 3165. The greatest factor of 3165 is 3165.

4. How to Find the LCM of 3158 and 3165?

Answer:

Least Common Multiple of 3158 and 3165 = 9995070

Step 1: Find the prime factorization of 3158

3158 = 2 x 1579

Step 2: Find the prime factorization of 3165

3165 = 3 x 5 x 211

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

LCM = 9995070 = 2 x 3 x 5 x 211 x 1579

Step 4: Therefore, the least common multiple of 3158 and 3165 is 9995070.