Least Common Multiple of 160 and 177

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 177 the smallest integer that is 28320 that is divisible by both numbers.

Least Common Multiple (LCM) of 160 and 177 is 28320.

LCM(160,177) = 28320

LCM of 160 and 177

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

LCM of:
and

Least Common Multiple of 160 and 177

LCM of 160 and 177 is 28320

Least common multiple can be found by multiplying the highest exponent prime factors of 160 and 177. First we will calculate the prime factors of 160 and 177.

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 177


3 177
59 59
1

Prime factors of 177 are 3,59. Prime factorization of 177 in exponential form is:

177 = 31×591

Now multiplying the highest exponent prime factors to calculate the LCM of 160 and 177.

LCM(160,177) = 25×31×51×591
LCM(160,177) = 28320

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 177

List of positive integer factors of 177 that divides 177 without a remainder.

1, 3, 59, 177

Least Common Multiple of 160 and 177 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 177, than apply into the LCM equation.

GCF(160,177) = 1
LCM(160,177) = ( 160 × 177) / 1
LCM(160,177) = 28320 / 1
LCM(160,177) = 28320

Properties of LCM 160 and 177

(i) The LCM of 177 and 160 is associative

LCM of 160 and 177 = LCM of 177 and 160

Related Least Common Multiples of 160

Related Least Common Multiples of 177

Frequently Asked Questions on LCM of 160 and 177

1. What is the LCM of 160 and 177?

Answer: LCM of 160 and 177 is 28320.

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 177?

Answer: Factors of 177 are 1, 3, 59, 177. There are 4 integers that are factors of 177. The greatest factor of 177 is 177.

4. How to Find the LCM of 160 and 177?

Answer:

Least Common Multiple of 160 and 177 = 28320

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 177

177 = 3 x 59

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

LCM = 28320 = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 59

Step 4: Therefore, the least common multiple of 160 and 177 is 28320.