Least Common Multiple of 140 and 146

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 146 the smallest integer that is 10220 that is divisible by both numbers.

Least Common Multiple (LCM) of 140 and 146 is 10220.

LCM(140,146) = 10220

LCM of 140 and 146

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

LCM of:
and

Least Common Multiple of 140 and 146

LCM of 140 and 146 is 10220

Least common multiple can be found by multiplying the highest exponent prime factors of 140 and 146. First we will calculate the prime factors of 140 and 146.

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 146


2 146
73 73
1

Prime factors of 146 are 2,73. Prime factorization of 146 in exponential form is:

146 = 21×731

Now multiplying the highest exponent prime factors to calculate the LCM of 140 and 146.

LCM(140,146) = 22×51×71×731
LCM(140,146) = 10220

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 146

List of positive integer factors of 146 that divides 146 without a remainder.

1, 2, 73, 146

Least Common Multiple of 140 and 146 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 146, than apply into the LCM equation.

GCF(140,146) = 2
LCM(140,146) = ( 140 × 146) / 2
LCM(140,146) = 20440 / 2
LCM(140,146) = 10220

Properties of LCM 140 and 146

(i) The LCM of 146 and 140 is associative

LCM of 140 and 146 = LCM of 146 and 140

Related Least Common Multiples of 140

Related Least Common Multiples of 146

Frequently Asked Questions on LCM of 140 and 146

1. What is the LCM of 140 and 146?

Answer: LCM of 140 and 146 is 10220.

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 146?

Answer: Factors of 146 are 1, 2, 73, 146. There are 4 integers that are factors of 146. The greatest factor of 146 is 146.

4. How to Find the LCM of 140 and 146?

Answer:

Least Common Multiple of 140 and 146 = 10220

Step 1: Find the prime factorization of 140

140 = 2 x 2 x 5 x 7

Step 2: Find the prime factorization of 146

146 = 2 x 73

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

LCM = 10220 = 2 x 2 x 5 x 7 x 73

Step 4: Therefore, the least common multiple of 140 and 146 is 10220.