Least Common Multiple of 160 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 160 and 174 the smallest integer that is 13920 that is divisible by both numbers.

Least Common Multiple (LCM) of 160 and 174 is 13920.

LCM(160,174) = 13920

LCM of 160 and 174

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

LCM of:
and

Least Common Multiple of 160 and 174

LCM of 160 and 174 is 13920

Least common multiple can be found by multiplying the highest exponent prime factors of 160 and 174. First we will calculate the prime factors of 160 and 174.

Prime Factorization of 160


2 160
2 80
2 40
2 20
2 10
5 5
1

Prime factors of 160 are 2,5. Prime factorization of 160 in exponential form is:

160 = 25×51

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 160 and 174.

LCM(160,174) = 25×31×51×291
LCM(160,174) = 13920

Factors of 160

List of positive integer factors of 160 that divides 160 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

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 160 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 160 and 174, than apply into the LCM equation.

GCF(160,174) = 2
LCM(160,174) = ( 160 × 174) / 2
LCM(160,174) = 27840 / 2
LCM(160,174) = 13920

Properties of LCM 160 and 174

(i) The LCM of 174 and 160 is associative

LCM of 160 and 174 = LCM of 174 and 160

Related Least Common Multiples of 160

Related Least Common Multiples of 174

Frequently Asked Questions on LCM of 160 and 174

1. What is the LCM of 160 and 174?

Answer: LCM of 160 and 174 is 13920.

2. What are the Factors of 160?

Answer: Factors of 160 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160. There are 12 integers that are factors of 160. The greatest factor of 160 is 160.

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 160 and 174?

Answer:

Least Common Multiple of 160 and 174 = 13920

Step 1: Find the prime factorization of 160

160 = 2 x 2 x 2 x 2 x 2 x 5

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 = 13920 = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 29

Step 4: Therefore, the least common multiple of 160 and 174 is 13920.