Least Common Multiple of 134 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 134 and 140 the smallest integer that is 9380 that is divisible by both numbers.

Least Common Multiple (LCM) of 134 and 140 is 9380.

LCM(134,140) = 9380

LCM of 134 and 140

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

LCM of:
and

Least Common Multiple of 134 and 140

LCM of 134 and 140 is 9380

Least common multiple can be found by multiplying the highest exponent prime factors of 134 and 140. First we will calculate the prime factors of 134 and 140.

Prime Factorization of 134


2 134
67 67
1

Prime factors of 134 are 2,67. Prime factorization of 134 in exponential form is:

134 = 21×671

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 134 and 140.

LCM(134,140) = 22×51×71×671
LCM(134,140) = 9380

Factors of 134

List of positive integer factors of 134 that divides 134 without a remainder.

1, 2, 67, 134

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 134 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 134 and 140, than apply into the LCM equation.

GCF(134,140) = 2
LCM(134,140) = ( 134 × 140) / 2
LCM(134,140) = 18760 / 2
LCM(134,140) = 9380

Properties of LCM 134 and 140

(i) The LCM of 140 and 134 is associative

LCM of 134 and 140 = LCM of 140 and 134

Related Least Common Multiples of 134

Related Least Common Multiples of 140

Frequently Asked Questions on LCM of 134 and 140

1. What is the LCM of 134 and 140?

Answer: LCM of 134 and 140 is 9380.

2. What are the Factors of 134?

Answer: Factors of 134 are 1, 2, 67, 134. There are 4 integers that are factors of 134. The greatest factor of 134 is 134.

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 134 and 140?

Answer:

Least Common Multiple of 134 and 140 = 9380

Step 1: Find the prime factorization of 134

134 = 2 x 67

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 = 9380 = 2 x 2 x 5 x 7 x 67

Step 4: Therefore, the least common multiple of 134 and 140 is 9380.