Least Common Multiple of 3158 and 3164

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 3164 the smallest integer that is 4995956 that is divisible by both numbers.

Least Common Multiple (LCM) of 3158 and 3164 is 4995956.

LCM(3158,3164) = 4995956

LCM of 3158 and 3164

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

LCM of:
and

Least Common Multiple of 3158 and 3164

LCM of 3158 and 3164 is 4995956

Least common multiple can be found by multiplying the highest exponent prime factors of 3158 and 3164. First we will calculate the prime factors of 3158 and 3164.

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 3164


2 3164
2 1582
7 791
113 113
1

Prime factors of 3164 are 2, 7,113. Prime factorization of 3164 in exponential form is:

3164 = 22×71×1131

Now multiplying the highest exponent prime factors to calculate the LCM of 3158 and 3164.

LCM(3158,3164) = 22×71×1131×15791
LCM(3158,3164) = 4995956

Factors of 3158

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

1, 2, 1579, 3158

Factors of 3164

List of positive integer factors of 3164 that divides 3164 without a remainder.

1, 2, 4, 7, 14, 28, 113, 226, 452, 791, 1582, 3164

Least Common Multiple of 3158 and 3164 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 3164, than apply into the LCM equation.

GCF(3158,3164) = 2
LCM(3158,3164) = ( 3158 × 3164) / 2
LCM(3158,3164) = 9991912 / 2
LCM(3158,3164) = 4995956

Properties of LCM 3158 and 3164

(i) The LCM of 3164 and 3158 is associative

LCM of 3158 and 3164 = LCM of 3164 and 3158

Related Least Common Multiples of 3158

Related Least Common Multiples of 3164

Frequently Asked Questions on LCM of 3158 and 3164

1. What is the LCM of 3158 and 3164?

Answer: LCM of 3158 and 3164 is 4995956.

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 3164?

Answer: Factors of 3164 are 1, 2, 4, 7, 14, 28, 113, 226, 452, 791, 1582, 3164. There are 12 integers that are factors of 3164. The greatest factor of 3164 is 3164.

4. How to Find the LCM of 3158 and 3164?

Answer:

Least Common Multiple of 3158 and 3164 = 4995956

Step 1: Find the prime factorization of 3158

3158 = 2 x 1579

Step 2: Find the prime factorization of 3164

3164 = 2 x 2 x 7 x 113

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

LCM = 4995956 = 2 x 2 x 7 x 113 x 1579

Step 4: Therefore, the least common multiple of 3158 and 3164 is 4995956.