Least Common Multiple of 164 and 168

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 164 and 168 the smallest integer that is 6888 that is divisible by both numbers.

Least Common Multiple (LCM) of 164 and 168 is 6888.

LCM(164,168) = 6888

LCM of 164 and 168

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

LCM of:
and

Least Common Multiple of 164 and 168

LCM of 164 and 168 is 6888

Least common multiple can be found by multiplying the highest exponent prime factors of 164 and 168. First we will calculate the prime factors of 164 and 168.

Prime Factorization of 164


2 164
2 82
41 41
1

Prime factors of 164 are 2,41. Prime factorization of 164 in exponential form is:

164 = 22×411

Prime Factorization of 168


2 168
2 84
2 42
3 21
7 7
1

Prime factors of 168 are 2, 3,7. Prime factorization of 168 in exponential form is:

168 = 23×31×71

Now multiplying the highest exponent prime factors to calculate the LCM of 164 and 168.

LCM(164,168) = 23×31×71×411
LCM(164,168) = 6888

Factors of 164

List of positive integer factors of 164 that divides 164 without a remainder.

1, 2, 4, 41, 82, 164

Factors of 168

List of positive integer factors of 168 that divides 168 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

Least Common Multiple of 164 and 168 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 164 and 168, than apply into the LCM equation.

GCF(164,168) = 4
LCM(164,168) = ( 164 × 168) / 4
LCM(164,168) = 27552 / 4
LCM(164,168) = 6888

Properties of LCM 164 and 168

(i) The LCM of 168 and 164 is associative

LCM of 164 and 168 = LCM of 168 and 164

Related Least Common Multiples of 164

Related Least Common Multiples of 168

Frequently Asked Questions on LCM of 164 and 168

1. What is the LCM of 164 and 168?

Answer: LCM of 164 and 168 is 6888.

2. What are the Factors of 164?

Answer: Factors of 164 are 1, 2, 4, 41, 82, 164. There are 6 integers that are factors of 164. The greatest factor of 164 is 164.

3. What are the Factors of 168?

Answer: Factors of 168 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168. There are 16 integers that are factors of 168. The greatest factor of 168 is 168.

4. How to Find the LCM of 164 and 168?

Answer:

Least Common Multiple of 164 and 168 = 6888

Step 1: Find the prime factorization of 164

164 = 2 x 2 x 41

Step 2: Find the prime factorization of 168

168 = 2 x 2 x 2 x 3 x 7

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

LCM = 6888 = 2 x 2 x 2 x 3 x 7 x 41

Step 4: Therefore, the least common multiple of 164 and 168 is 6888.