Least Common Multiple of 164 and 166

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 166 the smallest integer that is 13612 that is divisible by both numbers.

Least Common Multiple (LCM) of 164 and 166 is 13612.

LCM(164,166) = 13612

LCM of 164 and 166

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

LCM of:
and

Least Common Multiple of 164 and 166

LCM of 164 and 166 is 13612

Least common multiple can be found by multiplying the highest exponent prime factors of 164 and 166. First we will calculate the prime factors of 164 and 166.

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 166


2 166
83 83
1

Prime factors of 166 are 2,83. Prime factorization of 166 in exponential form is:

166 = 21×831

Now multiplying the highest exponent prime factors to calculate the LCM of 164 and 166.

LCM(164,166) = 22×411×831
LCM(164,166) = 13612

Factors of 164

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

1, 2, 4, 41, 82, 164

Factors of 166

List of positive integer factors of 166 that divides 166 without a remainder.

1, 2, 83, 166

Least Common Multiple of 164 and 166 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 166, than apply into the LCM equation.

GCF(164,166) = 2
LCM(164,166) = ( 164 × 166) / 2
LCM(164,166) = 27224 / 2
LCM(164,166) = 13612

Properties of LCM 164 and 166

(i) The LCM of 166 and 164 is associative

LCM of 164 and 166 = LCM of 166 and 164

Related Least Common Multiples of 164

Related Least Common Multiples of 166

Frequently Asked Questions on LCM of 164 and 166

1. What is the LCM of 164 and 166?

Answer: LCM of 164 and 166 is 13612.

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 166?

Answer: Factors of 166 are 1, 2, 83, 166. There are 4 integers that are factors of 166. The greatest factor of 166 is 166.

4. How to Find the LCM of 164 and 166?

Answer:

Least Common Multiple of 164 and 166 = 13612

Step 1: Find the prime factorization of 164

164 = 2 x 2 x 41

Step 2: Find the prime factorization of 166

166 = 2 x 83

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

LCM = 13612 = 2 x 2 x 41 x 83

Step 4: Therefore, the least common multiple of 164 and 166 is 13612.