Least Common Multiple of 167 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 167 and 170 the smallest integer that is 28390 that is divisible by both numbers.

Least Common Multiple (LCM) of 167 and 170 is 28390.

LCM(167,170) = 28390

LCM of 167 and 170

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

LCM of:
and

Least Common Multiple of 167 and 170

LCM of 167 and 170 is 28390

Least common multiple can be found by multiplying the highest exponent prime factors of 167 and 170. First we will calculate the prime factors of 167 and 170.

Prime Factorization of 167


167 167
1

Prime factors of 167 are 167. Prime factorization of 167 in exponential form is:

167 = 1671

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 167 and 170.

LCM(167,170) = 21×51×171×1671
LCM(167,170) = 28390

Factors of 167

List of positive integer factors of 167 that divides 167 without a remainder.

1, 167

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 167 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 167 and 170, than apply into the LCM equation.

GCF(167,170) = 1
LCM(167,170) = ( 167 × 170) / 1
LCM(167,170) = 28390 / 1
LCM(167,170) = 28390

Properties of LCM 167 and 170

(i) The LCM of 170 and 167 is associative

LCM of 167 and 170 = LCM of 170 and 167

Related Least Common Multiples of 167

Related Least Common Multiples of 170

Frequently Asked Questions on LCM of 167 and 170

1. What is the LCM of 167 and 170?

Answer: LCM of 167 and 170 is 28390.

2. What are the Factors of 167?

Answer: Factors of 167 are 1, 167. There are 2 integers that are factors of 167. The greatest factor of 167 is 167.

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 167 and 170?

Answer:

Least Common Multiple of 167 and 170 = 28390

Step 1: Find the prime factorization of 167

167 = 167

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 = 28390 = 2 x 5 x 17 x 167

Step 4: Therefore, the least common multiple of 167 and 170 is 28390.