Least Common Multiple of 155 and 160

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 155 and 160 the smallest integer that is 4960 that is divisible by both numbers.

Least Common Multiple (LCM) of 155 and 160 is 4960.

LCM(155,160) = 4960

LCM of 155 and 160

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

LCM of:
and

Least Common Multiple of 155 and 160

LCM of 155 and 160 is 4960

Least common multiple can be found by multiplying the highest exponent prime factors of 155 and 160. First we will calculate the prime factors of 155 and 160.

Prime Factorization of 155


5 155
31 31
1

Prime factors of 155 are 5,31. Prime factorization of 155 in exponential form is:

155 = 51×311

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

Now multiplying the highest exponent prime factors to calculate the LCM of 155 and 160.

LCM(155,160) = 25×51×311
LCM(155,160) = 4960

Factors of 155

List of positive integer factors of 155 that divides 155 without a remainder.

1, 5, 31, 155

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

Least Common Multiple of 155 and 160 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 155 and 160, than apply into the LCM equation.

GCF(155,160) = 5
LCM(155,160) = ( 155 × 160) / 5
LCM(155,160) = 24800 / 5
LCM(155,160) = 4960

Properties of LCM 155 and 160

(i) The LCM of 160 and 155 is associative

LCM of 155 and 160 = LCM of 160 and 155

Related Least Common Multiples of 155

Related Least Common Multiples of 160

Frequently Asked Questions on LCM of 155 and 160

1. What is the LCM of 155 and 160?

Answer: LCM of 155 and 160 is 4960.

2. What are the Factors of 155?

Answer: Factors of 155 are 1, 5, 31, 155. There are 4 integers that are factors of 155. The greatest factor of 155 is 155.

3. 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.

4. How to Find the LCM of 155 and 160?

Answer:

Least Common Multiple of 155 and 160 = 4960

Step 1: Find the prime factorization of 155

155 = 5 x 31

Step 2: Find the prime factorization of 160

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

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

LCM = 4960 = 2 x 2 x 2 x 2 x 2 x 5 x 31

Step 4: Therefore, the least common multiple of 155 and 160 is 4960.