Least Common Multiple of 160 and 175

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 175 the smallest integer that is 5600 that is divisible by both numbers.

Least Common Multiple (LCM) of 160 and 175 is 5600.

LCM(160,175) = 5600

LCM of 160 and 175

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

LCM of:
and

Least Common Multiple of 160 and 175

LCM of 160 and 175 is 5600

Least common multiple can be found by multiplying the highest exponent prime factors of 160 and 175. First we will calculate the prime factors of 160 and 175.

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 175


5 175
5 35
7 7
1

Prime factors of 175 are 5,7. Prime factorization of 175 in exponential form is:

175 = 52×71

Now multiplying the highest exponent prime factors to calculate the LCM of 160 and 175.

LCM(160,175) = 25×52×71
LCM(160,175) = 5600

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 175

List of positive integer factors of 175 that divides 175 without a remainder.

1, 5, 7, 25, 35, 175

Least Common Multiple of 160 and 175 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 175, than apply into the LCM equation.

GCF(160,175) = 5
LCM(160,175) = ( 160 × 175) / 5
LCM(160,175) = 28000 / 5
LCM(160,175) = 5600

Properties of LCM 160 and 175

(i) The LCM of 175 and 160 is associative

LCM of 160 and 175 = LCM of 175 and 160

Related Least Common Multiples of 160

Related Least Common Multiples of 175

Frequently Asked Questions on LCM of 160 and 175

1. What is the LCM of 160 and 175?

Answer: LCM of 160 and 175 is 5600.

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 175?

Answer: Factors of 175 are 1, 5, 7, 25, 35, 175. There are 6 integers that are factors of 175. The greatest factor of 175 is 175.

4. How to Find the LCM of 160 and 175?

Answer:

Least Common Multiple of 160 and 175 = 5600

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 175

175 = 5 x 5 x 7

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

LCM = 5600 = 2 x 2 x 2 x 2 x 2 x 5 x 5 x 7

Step 4: Therefore, the least common multiple of 160 and 175 is 5600.