Least Common Multiple of 3159 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 3159 and 3164 the smallest integer that is 9995076 that is divisible by both numbers.

Least Common Multiple (LCM) of 3159 and 3164 is 9995076.

LCM(3159,3164) = 9995076

LCM of 3159 and 3164

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

LCM of:
and

Least Common Multiple of 3159 and 3164

LCM of 3159 and 3164 is 9995076

Least common multiple can be found by multiplying the highest exponent prime factors of 3159 and 3164. First we will calculate the prime factors of 3159 and 3164.

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

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 3159 and 3164.

LCM(3159,3164) = 22×35×71×131×1131
LCM(3159,3164) = 9995076

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

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 3159 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 3159 and 3164, than apply into the LCM equation.

GCF(3159,3164) = 1
LCM(3159,3164) = ( 3159 × 3164) / 1
LCM(3159,3164) = 9995076 / 1
LCM(3159,3164) = 9995076

Properties of LCM 3159 and 3164

(i) The LCM of 3164 and 3159 is associative

LCM of 3159 and 3164 = LCM of 3164 and 3159

Related Least Common Multiples of 3159

Related Least Common Multiples of 3164

Frequently Asked Questions on LCM of 3159 and 3164

1. What is the LCM of 3159 and 3164?

Answer: LCM of 3159 and 3164 is 9995076.

2. 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.

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 3159 and 3164?

Answer:

Least Common Multiple of 3159 and 3164 = 9995076

Step 1: Find the prime factorization of 3159

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

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 = 9995076 = 2 x 2 x 3 x 3 x 3 x 3 x 3 x 7 x 13 x 113

Step 4: Therefore, the least common multiple of 3159 and 3164 is 9995076.