Least Common Multiple of 3144 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 3144 and 3150 the smallest integer that is 1650600 that is divisible by both numbers.

Least Common Multiple (LCM) of 3144 and 3150 is 1650600.

LCM(3144,3150) = 1650600

LCM of 3144 and 3150

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

LCM of:
and

Least Common Multiple of 3144 and 3150

LCM of 3144 and 3150 is 1650600

Least common multiple can be found by multiplying the highest exponent prime factors of 3144 and 3150. First we will calculate the prime factors of 3144 and 3150.

Prime Factorization of 3144


2 3144
2 1572
2 786
3 393
131 131
1

Prime factors of 3144 are 2, 3,131. Prime factorization of 3144 in exponential form is:

3144 = 23×31×1311

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 3144 and 3150.

LCM(3144,3150) = 23×32×52×71×1311
LCM(3144,3150) = 1650600

Factors of 3144

List of positive integer factors of 3144 that divides 3144 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 131, 262, 393, 524, 786, 1048, 1572, 3144

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 3144 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 3144 and 3150, than apply into the LCM equation.

GCF(3144,3150) = 6
LCM(3144,3150) = ( 3144 × 3150) / 6
LCM(3144,3150) = 9903600 / 6
LCM(3144,3150) = 1650600

Properties of LCM 3144 and 3150

(i) The LCM of 3150 and 3144 is associative

LCM of 3144 and 3150 = LCM of 3150 and 3144

Related Least Common Multiples of 3144

Related Least Common Multiples of 3150

Frequently Asked Questions on LCM of 3144 and 3150

1. What is the LCM of 3144 and 3150?

Answer: LCM of 3144 and 3150 is 1650600.

2. What are the Factors of 3144?

Answer: Factors of 3144 are 1, 2, 3, 4, 6, 8, 12, 24, 131, 262, 393, 524, 786, 1048, 1572, 3144. There are 16 integers that are factors of 3144. The greatest factor of 3144 is 3144.

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 3144 and 3150?

Answer:

Least Common Multiple of 3144 and 3150 = 1650600

Step 1: Find the prime factorization of 3144

3144 = 2 x 2 x 2 x 3 x 131

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 = 1650600 = 2 x 2 x 2 x 3 x 3 x 5 x 5 x 7 x 131

Step 4: Therefore, the least common multiple of 3144 and 3150 is 1650600.