Least Common Multiple of 160 and 172

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 172 the smallest integer that is 6880 that is divisible by both numbers.

Least Common Multiple (LCM) of 160 and 172 is 6880.

LCM(160,172) = 6880

LCM of 160 and 172

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

LCM of:
and

Least Common Multiple of 160 and 172

LCM of 160 and 172 is 6880

Least common multiple can be found by multiplying the highest exponent prime factors of 160 and 172. First we will calculate the prime factors of 160 and 172.

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 172


2 172
2 86
43 43
1

Prime factors of 172 are 2,43. Prime factorization of 172 in exponential form is:

172 = 22×431

Now multiplying the highest exponent prime factors to calculate the LCM of 160 and 172.

LCM(160,172) = 25×51×431
LCM(160,172) = 6880

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 172

List of positive integer factors of 172 that divides 172 without a remainder.

1, 2, 4, 43, 86, 172

Least Common Multiple of 160 and 172 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 172, than apply into the LCM equation.

GCF(160,172) = 4
LCM(160,172) = ( 160 × 172) / 4
LCM(160,172) = 27520 / 4
LCM(160,172) = 6880

Properties of LCM 160 and 172

(i) The LCM of 172 and 160 is associative

LCM of 160 and 172 = LCM of 172 and 160

Related Least Common Multiples of 160

Related Least Common Multiples of 172

Frequently Asked Questions on LCM of 160 and 172

1. What is the LCM of 160 and 172?

Answer: LCM of 160 and 172 is 6880.

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 172?

Answer: Factors of 172 are 1, 2, 4, 43, 86, 172. There are 6 integers that are factors of 172. The greatest factor of 172 is 172.

4. How to Find the LCM of 160 and 172?

Answer:

Least Common Multiple of 160 and 172 = 6880

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 172

172 = 2 x 2 x 43

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

LCM = 6880 = 2 x 2 x 2 x 2 x 2 x 5 x 43

Step 4: Therefore, the least common multiple of 160 and 172 is 6880.