Least Common Multiple of 3145 and 3150

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3145 and 3150 the smallest integer that is 1981350 that is divisible by both numbers.

Least Common Multiple (LCM) of 3145 and 3150 is 1981350.

LCM(3145,3150) = 1981350

LCM of 3145 and 3150

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

LCM of:
and

Least Common Multiple of 3145 and 3150

LCM of 3145 and 3150 is 1981350

Least common multiple can be found by multiplying the highest exponent prime factors of 3145 and 3150. First we will calculate the prime factors of 3145 and 3150.

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

Prime Factorization of 3150


2 3150
3 1575
3 525
5 175
5 35
7 7
1

Prime factors of 3150 are 2, 3, 5,7. Prime factorization of 3150 in exponential form is:

3150 = 21×32×52×71

Now multiplying the highest exponent prime factors to calculate the LCM of 3145 and 3150.

LCM(3145,3150) = 21×32×52×71×171×371
LCM(3145,3150) = 1981350

Factors of 3145

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

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

Factors of 3150

List of positive integer factors of 3150 that divides 3150 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 25, 30, 35, 42, 45, 50, 63, 70, 75, 90, 105, 126, 150, 175, 210, 225, 315, 350, 450, 525, 630, 1050, 1575, 3150

Least Common Multiple of 3145 and 3150 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3145 and 3150, than apply into the LCM equation.

GCF(3145,3150) = 5
LCM(3145,3150) = ( 3145 × 3150) / 5
LCM(3145,3150) = 9906750 / 5
LCM(3145,3150) = 1981350

Properties of LCM 3145 and 3150

(i) The LCM of 3150 and 3145 is associative

LCM of 3145 and 3150 = LCM of 3150 and 3145

Related Least Common Multiples of 3145

Related Least Common Multiples of 3150

Frequently Asked Questions on LCM of 3145 and 3150

1. What is the LCM of 3145 and 3150?

Answer: LCM of 3145 and 3150 is 1981350.

2. 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.

3. What are the Factors of 3150?

Answer: Factors of 3150 are 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 25, 30, 35, 42, 45, 50, 63, 70, 75, 90, 105, 126, 150, 175, 210, 225, 315, 350, 450, 525, 630, 1050, 1575, 3150. There are 36 integers that are factors of 3150. The greatest factor of 3150 is 3150.

4. How to Find the LCM of 3145 and 3150?

Answer:

Least Common Multiple of 3145 and 3150 = 1981350

Step 1: Find the prime factorization of 3145

3145 = 5 x 17 x 37

Step 2: Find the prime factorization of 3150

3150 = 2 x 3 x 3 x 5 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 = 1981350 = 2 x 3 x 3 x 5 x 5 x 7 x 17 x 37

Step 4: Therefore, the least common multiple of 3145 and 3150 is 1981350.