Least Common Multiple of 174 and 178

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 178 the smallest integer that is 15486 that is divisible by both numbers.

Least Common Multiple (LCM) of 174 and 178 is 15486.

LCM(174,178) = 15486

LCM of 174 and 178

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

LCM of:
and

Least Common Multiple of 174 and 178

LCM of 174 and 178 is 15486

Least common multiple can be found by multiplying the highest exponent prime factors of 174 and 178. First we will calculate the prime factors of 174 and 178.

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 178


2 178
89 89
1

Prime factors of 178 are 2,89. Prime factorization of 178 in exponential form is:

178 = 21×891

Now multiplying the highest exponent prime factors to calculate the LCM of 174 and 178.

LCM(174,178) = 21×31×291×891
LCM(174,178) = 15486

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 178

List of positive integer factors of 178 that divides 178 without a remainder.

1, 2, 89, 178

Least Common Multiple of 174 and 178 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 178, than apply into the LCM equation.

GCF(174,178) = 2
LCM(174,178) = ( 174 × 178) / 2
LCM(174,178) = 30972 / 2
LCM(174,178) = 15486

Properties of LCM 174 and 178

(i) The LCM of 178 and 174 is associative

LCM of 174 and 178 = LCM of 178 and 174

Related Least Common Multiples of 174

Related Least Common Multiples of 178

Frequently Asked Questions on LCM of 174 and 178

1. What is the LCM of 174 and 178?

Answer: LCM of 174 and 178 is 15486.

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 178?

Answer: Factors of 178 are 1, 2, 89, 178. There are 4 integers that are factors of 178. The greatest factor of 178 is 178.

4. How to Find the LCM of 174 and 178?

Answer:

Least Common Multiple of 174 and 178 = 15486

Step 1: Find the prime factorization of 174

174 = 2 x 3 x 29

Step 2: Find the prime factorization of 178

178 = 2 x 89

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

LCM = 15486 = 2 x 3 x 29 x 89

Step 4: Therefore, the least common multiple of 174 and 178 is 15486.