Least Common Multiple of 167 and 174

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 174 the smallest integer that is 29058 that is divisible by both numbers.

Least Common Multiple (LCM) of 167 and 174 is 29058.

LCM(167,174) = 29058

LCM of 167 and 174

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

LCM of:
and

Least Common Multiple of 167 and 174

LCM of 167 and 174 is 29058

Least common multiple can be found by multiplying the highest exponent prime factors of 167 and 174. First we will calculate the prime factors of 167 and 174.

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 174


2 174
3 87
29 29
1

Prime factors of 174 are 2, 3,29. Prime factorization of 174 in exponential form is:

174 = 21×31×291

Now multiplying the highest exponent prime factors to calculate the LCM of 167 and 174.

LCM(167,174) = 21×31×291×1671
LCM(167,174) = 29058

Factors of 167

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

1, 167

Factors of 174

List of positive integer factors of 174 that divides 174 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174

Least Common Multiple of 167 and 174 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 174, than apply into the LCM equation.

GCF(167,174) = 1
LCM(167,174) = ( 167 × 174) / 1
LCM(167,174) = 29058 / 1
LCM(167,174) = 29058

Properties of LCM 167 and 174

(i) The LCM of 174 and 167 is associative

LCM of 167 and 174 = LCM of 174 and 167

Related Least Common Multiples of 167

Related Least Common Multiples of 174

Frequently Asked Questions on LCM of 167 and 174

1. What is the LCM of 167 and 174?

Answer: LCM of 167 and 174 is 29058.

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 174?

Answer: Factors of 174 are 1, 2, 3, 6, 29, 58, 87, 174. There are 8 integers that are factors of 174. The greatest factor of 174 is 174.

4. How to Find the LCM of 167 and 174?

Answer:

Least Common Multiple of 167 and 174 = 29058

Step 1: Find the prime factorization of 167

167 = 167

Step 2: Find the prime factorization of 174

174 = 2 x 3 x 29

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

LCM = 29058 = 2 x 3 x 29 x 167

Step 4: Therefore, the least common multiple of 167 and 174 is 29058.