Least Common Multiple of 3140 and 3145

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3140 and 3145 the smallest integer that is 1975060 that is divisible by both numbers.

Least Common Multiple (LCM) of 3140 and 3145 is 1975060.

LCM(3140,3145) = 1975060

LCM of 3140 and 3145

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

LCM of:
and

Least Common Multiple of 3140 and 3145

LCM of 3140 and 3145 is 1975060

Least common multiple can be found by multiplying the highest exponent prime factors of 3140 and 3145. First we will calculate the prime factors of 3140 and 3145.

Prime Factorization of 3140


2 3140
2 1570
5 785
157 157
1

Prime factors of 3140 are 2, 5,157. Prime factorization of 3140 in exponential form is:

3140 = 22×51×1571

Prime Factorization of 3145


5 3145
17 629
37 37
1

Prime factors of 3145 are 5, 17,37. Prime factorization of 3145 in exponential form is:

3145 = 51×171×371

Now multiplying the highest exponent prime factors to calculate the LCM of 3140 and 3145.

LCM(3140,3145) = 22×51×171×371×1571
LCM(3140,3145) = 1975060

Factors of 3140

List of positive integer factors of 3140 that divides 3140 without a remainder.

1, 2, 4, 5, 10, 20, 157, 314, 628, 785, 1570, 3140

Factors of 3145

List of positive integer factors of 3145 that divides 3145 without a remainder.

1, 5, 17, 37, 85, 185, 629, 3145

Least Common Multiple of 3140 and 3145 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3140 and 3145, than apply into the LCM equation.

GCF(3140,3145) = 5
LCM(3140,3145) = ( 3140 × 3145) / 5
LCM(3140,3145) = 9875300 / 5
LCM(3140,3145) = 1975060

Properties of LCM 3140 and 3145

(i) The LCM of 3145 and 3140 is associative

LCM of 3140 and 3145 = LCM of 3145 and 3140

Related Least Common Multiples of 3140

Related Least Common Multiples of 3145

Frequently Asked Questions on LCM of 3140 and 3145

1. What is the LCM of 3140 and 3145?

Answer: LCM of 3140 and 3145 is 1975060.

2. What are the Factors of 3140?

Answer: Factors of 3140 are 1, 2, 4, 5, 10, 20, 157, 314, 628, 785, 1570, 3140. There are 12 integers that are factors of 3140. The greatest factor of 3140 is 3140.

3. What are the Factors of 3145?

Answer: Factors of 3145 are 1, 5, 17, 37, 85, 185, 629, 3145. There are 8 integers that are factors of 3145. The greatest factor of 3145 is 3145.

4. How to Find the LCM of 3140 and 3145?

Answer:

Least Common Multiple of 3140 and 3145 = 1975060

Step 1: Find the prime factorization of 3140

3140 = 2 x 2 x 5 x 157

Step 2: Find the prime factorization of 3145

3145 = 5 x 17 x 37

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

LCM = 1975060 = 2 x 2 x 5 x 17 x 37 x 157

Step 4: Therefore, the least common multiple of 3140 and 3145 is 1975060.