Least Common Multiple of 3150 and 3155

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3150 and 3155 the smallest integer that is 1987650 that is divisible by both numbers.

Least Common Multiple (LCM) of 3150 and 3155 is 1987650.

LCM(3150,3155) = 1987650

LCM of 3150 and 3155

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

LCM of:
and

Least Common Multiple of 3150 and 3155

LCM of 3150 and 3155 is 1987650

Least common multiple can be found by multiplying the highest exponent prime factors of 3150 and 3155. First we will calculate the prime factors of 3150 and 3155.

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

Prime Factorization of 3155


5 3155
631 631
1

Prime factors of 3155 are 5,631. Prime factorization of 3155 in exponential form is:

3155 = 51×6311

Now multiplying the highest exponent prime factors to calculate the LCM of 3150 and 3155.

LCM(3150,3155) = 21×32×52×71×6311
LCM(3150,3155) = 1987650

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

Factors of 3155

List of positive integer factors of 3155 that divides 3155 without a remainder.

1, 5, 631, 3155

Least Common Multiple of 3150 and 3155 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3150 and 3155, than apply into the LCM equation.

GCF(3150,3155) = 5
LCM(3150,3155) = ( 3150 × 3155) / 5
LCM(3150,3155) = 9938250 / 5
LCM(3150,3155) = 1987650

Properties of LCM 3150 and 3155

(i) The LCM of 3155 and 3150 is associative

LCM of 3150 and 3155 = LCM of 3155 and 3150

Related Least Common Multiples of 3150

Related Least Common Multiples of 3155

Frequently Asked Questions on LCM of 3150 and 3155

1. What is the LCM of 3150 and 3155?

Answer: LCM of 3150 and 3155 is 1987650.

2. 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.

3. What are the Factors of 3155?

Answer: Factors of 3155 are 1, 5, 631, 3155. There are 4 integers that are factors of 3155. The greatest factor of 3155 is 3155.

4. How to Find the LCM of 3150 and 3155?

Answer:

Least Common Multiple of 3150 and 3155 = 1987650

Step 1: Find the prime factorization of 3150

3150 = 2 x 3 x 3 x 5 x 5 x 7

Step 2: Find the prime factorization of 3155

3155 = 5 x 631

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

LCM = 1987650 = 2 x 3 x 3 x 5 x 5 x 7 x 631

Step 4: Therefore, the least common multiple of 3150 and 3155 is 1987650.