Least Common Multiple of 140 and 155

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 140 and 155 the smallest integer that is 4340 that is divisible by both numbers.

Least Common Multiple (LCM) of 140 and 155 is 4340.

LCM(140,155) = 4340

LCM of 140 and 155

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

LCM of:
and

Least Common Multiple of 140 and 155

LCM of 140 and 155 is 4340

Least common multiple can be found by multiplying the highest exponent prime factors of 140 and 155. First we will calculate the prime factors of 140 and 155.

Prime Factorization of 140


2 140
2 70
5 35
7 7
1

Prime factors of 140 are 2, 5,7. Prime factorization of 140 in exponential form is:

140 = 22×51×71

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

Now multiplying the highest exponent prime factors to calculate the LCM of 140 and 155.

LCM(140,155) = 22×51×71×311
LCM(140,155) = 4340

Factors of 140

List of positive integer factors of 140 that divides 140 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

Factors of 155

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

1, 5, 31, 155

Least Common Multiple of 140 and 155 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 140 and 155, than apply into the LCM equation.

GCF(140,155) = 5
LCM(140,155) = ( 140 × 155) / 5
LCM(140,155) = 21700 / 5
LCM(140,155) = 4340

Properties of LCM 140 and 155

(i) The LCM of 155 and 140 is associative

LCM of 140 and 155 = LCM of 155 and 140

Related Least Common Multiples of 140

Related Least Common Multiples of 155

Frequently Asked Questions on LCM of 140 and 155

1. What is the LCM of 140 and 155?

Answer: LCM of 140 and 155 is 4340.

2. What are the Factors of 140?

Answer: Factors of 140 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140. There are 12 integers that are factors of 140. The greatest factor of 140 is 140.

3. 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.

4. How to Find the LCM of 140 and 155?

Answer:

Least Common Multiple of 140 and 155 = 4340

Step 1: Find the prime factorization of 140

140 = 2 x 2 x 5 x 7

Step 2: Find the prime factorization of 155

155 = 5 x 31

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

LCM = 4340 = 2 x 2 x 5 x 7 x 31

Step 4: Therefore, the least common multiple of 140 and 155 is 4340.