Least Common Multiple of 133 and 140

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 133 and 140 the smallest integer that is 2660 that is divisible by both numbers.

Least Common Multiple (LCM) of 133 and 140 is 2660.

LCM(133,140) = 2660

LCM of 133 and 140

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

LCM of:
and

Least Common Multiple of 133 and 140

LCM of 133 and 140 is 2660

Least common multiple can be found by multiplying the highest exponent prime factors of 133 and 140. First we will calculate the prime factors of 133 and 140.

Prime Factorization of 133


7 133
19 19
1

Prime factors of 133 are 7,19. Prime factorization of 133 in exponential form is:

133 = 71×191

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

Now multiplying the highest exponent prime factors to calculate the LCM of 133 and 140.

LCM(133,140) = 22×51×71×191
LCM(133,140) = 2660

Factors of 133

List of positive integer factors of 133 that divides 133 without a remainder.

1, 7, 19, 133

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

Least Common Multiple of 133 and 140 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 133 and 140, than apply into the LCM equation.

GCF(133,140) = 7
LCM(133,140) = ( 133 × 140) / 7
LCM(133,140) = 18620 / 7
LCM(133,140) = 2660

Properties of LCM 133 and 140

(i) The LCM of 140 and 133 is associative

LCM of 133 and 140 = LCM of 140 and 133

Related Least Common Multiples of 133

Related Least Common Multiples of 140

Frequently Asked Questions on LCM of 133 and 140

1. What is the LCM of 133 and 140?

Answer: LCM of 133 and 140 is 2660.

2. What are the Factors of 133?

Answer: Factors of 133 are 1, 7, 19, 133. There are 4 integers that are factors of 133. The greatest factor of 133 is 133.

3. 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.

4. How to Find the LCM of 133 and 140?

Answer:

Least Common Multiple of 133 and 140 = 2660

Step 1: Find the prime factorization of 133

133 = 7 x 19

Step 2: Find the prime factorization of 140

140 = 2 x 2 x 5 x 7

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

LCM = 2660 = 2 x 2 x 5 x 7 x 19

Step 4: Therefore, the least common multiple of 133 and 140 is 2660.