Least Common Multiple of 3147 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 3147 and 3150 the smallest integer that is 3304350 that is divisible by both numbers.

Least Common Multiple (LCM) of 3147 and 3150 is 3304350.

LCM(3147,3150) = 3304350

LCM of 3147 and 3150

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

LCM of:
and

Least Common Multiple of 3147 and 3150

LCM of 3147 and 3150 is 3304350

Least common multiple can be found by multiplying the highest exponent prime factors of 3147 and 3150. First we will calculate the prime factors of 3147 and 3150.

Prime Factorization of 3147


3 3147
1049 1049
1

Prime factors of 3147 are 3,1049. Prime factorization of 3147 in exponential form is:

3147 = 31×10491

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 3147 and 3150.

LCM(3147,3150) = 21×32×52×71×10491
LCM(3147,3150) = 3304350

Factors of 3147

List of positive integer factors of 3147 that divides 3147 without a remainder.

1, 3, 1049, 3147

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 3147 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 3147 and 3150, than apply into the LCM equation.

GCF(3147,3150) = 3
LCM(3147,3150) = ( 3147 × 3150) / 3
LCM(3147,3150) = 9913050 / 3
LCM(3147,3150) = 3304350

Properties of LCM 3147 and 3150

(i) The LCM of 3150 and 3147 is associative

LCM of 3147 and 3150 = LCM of 3150 and 3147

Related Least Common Multiples of 3147

Related Least Common Multiples of 3150

Frequently Asked Questions on LCM of 3147 and 3150

1. What is the LCM of 3147 and 3150?

Answer: LCM of 3147 and 3150 is 3304350.

2. What are the Factors of 3147?

Answer: Factors of 3147 are 1, 3, 1049, 3147. There are 4 integers that are factors of 3147. The greatest factor of 3147 is 3147.

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 3147 and 3150?

Answer:

Least Common Multiple of 3147 and 3150 = 3304350

Step 1: Find the prime factorization of 3147

3147 = 3 x 1049

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 = 3304350 = 2 x 3 x 3 x 5 x 5 x 7 x 1049

Step 4: Therefore, the least common multiple of 3147 and 3150 is 3304350.