Least Common Multiple of 174 and 179

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 174 and 179 the smallest integer that is 31146 that is divisible by both numbers.

Least Common Multiple (LCM) of 174 and 179 is 31146.

LCM(174,179) = 31146

LCM of 174 and 179

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

LCM of:
and

Least Common Multiple of 174 and 179

LCM of 174 and 179 is 31146

Least common multiple can be found by multiplying the highest exponent prime factors of 174 and 179. First we will calculate the prime factors of 174 and 179.

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

Prime Factorization of 179


179 179
1

Prime factors of 179 are 179. Prime factorization of 179 in exponential form is:

179 = 1791

Now multiplying the highest exponent prime factors to calculate the LCM of 174 and 179.

LCM(174,179) = 21×31×291×1791
LCM(174,179) = 31146

Factors of 174

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

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

Factors of 179

List of positive integer factors of 179 that divides 179 without a remainder.

1, 179

Least Common Multiple of 174 and 179 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 174 and 179, than apply into the LCM equation.

GCF(174,179) = 1
LCM(174,179) = ( 174 × 179) / 1
LCM(174,179) = 31146 / 1
LCM(174,179) = 31146

Properties of LCM 174 and 179

(i) The LCM of 179 and 174 is associative

LCM of 174 and 179 = LCM of 179 and 174

Related Least Common Multiples of 174

Related Least Common Multiples of 179

Frequently Asked Questions on LCM of 174 and 179

1. What is the LCM of 174 and 179?

Answer: LCM of 174 and 179 is 31146.

2. 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.

3. What are the Factors of 179?

Answer: Factors of 179 are 1, 179. There are 2 integers that are factors of 179. The greatest factor of 179 is 179.

4. How to Find the LCM of 174 and 179?

Answer:

Least Common Multiple of 174 and 179 = 31146

Step 1: Find the prime factorization of 174

174 = 2 x 3 x 29

Step 2: Find the prime factorization of 179

179 = 179

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

LCM = 31146 = 2 x 3 x 29 x 179

Step 4: Therefore, the least common multiple of 174 and 179 is 31146.