Least Common Multiple of 160 and 167

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 167 the smallest integer that is 26720 that is divisible by both numbers.

Least Common Multiple (LCM) of 160 and 167 is 26720.

LCM(160,167) = 26720

LCM of 160 and 167

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

LCM of:
and

Least Common Multiple of 160 and 167

LCM of 160 and 167 is 26720

Least common multiple can be found by multiplying the highest exponent prime factors of 160 and 167. First we will calculate the prime factors of 160 and 167.

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 167


167 167
1

Prime factors of 167 are 167. Prime factorization of 167 in exponential form is:

167 = 1671

Now multiplying the highest exponent prime factors to calculate the LCM of 160 and 167.

LCM(160,167) = 25×51×1671
LCM(160,167) = 26720

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 167

List of positive integer factors of 167 that divides 167 without a remainder.

1, 167

Least Common Multiple of 160 and 167 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 167, than apply into the LCM equation.

GCF(160,167) = 1
LCM(160,167) = ( 160 × 167) / 1
LCM(160,167) = 26720 / 1
LCM(160,167) = 26720

Properties of LCM 160 and 167

(i) The LCM of 167 and 160 is associative

LCM of 160 and 167 = LCM of 167 and 160

Related Least Common Multiples of 160

Related Least Common Multiples of 167

Frequently Asked Questions on LCM of 160 and 167

1. What is the LCM of 160 and 167?

Answer: LCM of 160 and 167 is 26720.

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 167?

Answer: Factors of 167 are 1, 167. There are 2 integers that are factors of 167. The greatest factor of 167 is 167.

4. How to Find the LCM of 160 and 167?

Answer:

Least Common Multiple of 160 and 167 = 26720

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 167

167 = 167

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

LCM = 26720 = 2 x 2 x 2 x 2 x 2 x 5 x 167

Step 4: Therefore, the least common multiple of 160 and 167 is 26720.