Least Common Multiple of 164 and 170

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 170 the smallest integer that is 13940 that is divisible by both numbers.

Least Common Multiple (LCM) of 164 and 170 is 13940.

LCM(164,170) = 13940

LCM of 164 and 170

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

LCM of:
and

Least Common Multiple of 164 and 170

LCM of 164 and 170 is 13940

Least common multiple can be found by multiplying the highest exponent prime factors of 164 and 170. First we will calculate the prime factors of 164 and 170.

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 170


2 170
5 85
17 17
1

Prime factors of 170 are 2, 5,17. Prime factorization of 170 in exponential form is:

170 = 21×51×171

Now multiplying the highest exponent prime factors to calculate the LCM of 164 and 170.

LCM(164,170) = 22×51×171×411
LCM(164,170) = 13940

Factors of 164

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

1, 2, 4, 41, 82, 164

Factors of 170

List of positive integer factors of 170 that divides 170 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170

Least Common Multiple of 164 and 170 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 170, than apply into the LCM equation.

GCF(164,170) = 2
LCM(164,170) = ( 164 × 170) / 2
LCM(164,170) = 27880 / 2
LCM(164,170) = 13940

Properties of LCM 164 and 170

(i) The LCM of 170 and 164 is associative

LCM of 164 and 170 = LCM of 170 and 164

Related Least Common Multiples of 164

Related Least Common Multiples of 170

Frequently Asked Questions on LCM of 164 and 170

1. What is the LCM of 164 and 170?

Answer: LCM of 164 and 170 is 13940.

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 170?

Answer: Factors of 170 are 1, 2, 5, 10, 17, 34, 85, 170. There are 8 integers that are factors of 170. The greatest factor of 170 is 170.

4. How to Find the LCM of 164 and 170?

Answer:

Least Common Multiple of 164 and 170 = 13940

Step 1: Find the prime factorization of 164

164 = 2 x 2 x 41

Step 2: Find the prime factorization of 170

170 = 2 x 5 x 17

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

LCM = 13940 = 2 x 2 x 5 x 17 x 41

Step 4: Therefore, the least common multiple of 164 and 170 is 13940.