Least Common Multiple of 3164 and 3168

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3164 and 3168 the smallest integer that is 2505888 that is divisible by both numbers.

Least Common Multiple (LCM) of 3164 and 3168 is 2505888.

LCM(3164,3168) = 2505888

LCM of 3164 and 3168

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

LCM of:
and

Least Common Multiple of 3164 and 3168

LCM of 3164 and 3168 is 2505888

Least common multiple can be found by multiplying the highest exponent prime factors of 3164 and 3168. First we will calculate the prime factors of 3164 and 3168.

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

Prime Factorization of 3168


2 3168
2 1584
2 792
2 396
2 198
3 99
3 33
11 11
1

Prime factors of 3168 are 2, 3,11. Prime factorization of 3168 in exponential form is:

3168 = 25×32×111

Now multiplying the highest exponent prime factors to calculate the LCM of 3164 and 3168.

LCM(3164,3168) = 25×32×71×111×1131
LCM(3164,3168) = 2505888

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

Factors of 3168

List of positive integer factors of 3168 that divides 3168 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 32, 33, 36, 44, 48, 66, 72, 88, 96, 99, 132, 144, 176, 198, 264, 288, 352, 396, 528, 792, 1056, 1584, 3168

Least Common Multiple of 3164 and 3168 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3164 and 3168, than apply into the LCM equation.

GCF(3164,3168) = 4
LCM(3164,3168) = ( 3164 × 3168) / 4
LCM(3164,3168) = 10023552 / 4
LCM(3164,3168) = 2505888

Properties of LCM 3164 and 3168

(i) The LCM of 3168 and 3164 is associative

LCM of 3164 and 3168 = LCM of 3168 and 3164

Related Least Common Multiples of 3164

Related Least Common Multiples of 3168

Frequently Asked Questions on LCM of 3164 and 3168

1. What is the LCM of 3164 and 3168?

Answer: LCM of 3164 and 3168 is 2505888.

2. 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.

3. What are the Factors of 3168?

Answer: Factors of 3168 are 1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 32, 33, 36, 44, 48, 66, 72, 88, 96, 99, 132, 144, 176, 198, 264, 288, 352, 396, 528, 792, 1056, 1584, 3168. There are 36 integers that are factors of 3168. The greatest factor of 3168 is 3168.

4. How to Find the LCM of 3164 and 3168?

Answer:

Least Common Multiple of 3164 and 3168 = 2505888

Step 1: Find the prime factorization of 3164

3164 = 2 x 2 x 7 x 113

Step 2: Find the prime factorization of 3168

3168 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 11

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

LCM = 2505888 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 7 x 11 x 113

Step 4: Therefore, the least common multiple of 3164 and 3168 is 2505888.