Least Common Multiple of 4144 and 4150

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4144 and 4150 the smallest integer that is 8598800 that is divisible by both numbers.

Least Common Multiple (LCM) of 4144 and 4150 is 8598800.

LCM(4144,4150) = 8598800

LCM of 4144 and 4150

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

LCM of:
and

Least Common Multiple of 4144 and 4150

LCM of 4144 and 4150 is 8598800

Least common multiple can be found by multiplying the highest exponent prime factors of 4144 and 4150. First we will calculate the prime factors of 4144 and 4150.

Prime Factorization of 4144


2 4144
2 2072
2 1036
2 518
7 259
37 37
1

Prime factors of 4144 are 2, 7,37. Prime factorization of 4144 in exponential form is:

4144 = 24×71×371

Prime Factorization of 4150


2 4150
5 2075
5 415
83 83
1

Prime factors of 4150 are 2, 5,83. Prime factorization of 4150 in exponential form is:

4150 = 21×52×831

Now multiplying the highest exponent prime factors to calculate the LCM of 4144 and 4150.

LCM(4144,4150) = 24×52×71×371×831
LCM(4144,4150) = 8598800

Factors of 4144

List of positive integer factors of 4144 that divides 4144 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 37, 56, 74, 112, 148, 259, 296, 518, 592, 1036, 2072, 4144

Factors of 4150

List of positive integer factors of 4150 that divides 4150 without a remainder.

1, 2, 5, 10, 25, 50, 83, 166, 415, 830, 2075, 4150

Least Common Multiple of 4144 and 4150 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4144 and 4150, than apply into the LCM equation.

GCF(4144,4150) = 2
LCM(4144,4150) = ( 4144 × 4150) / 2
LCM(4144,4150) = 17197600 / 2
LCM(4144,4150) = 8598800

Properties of LCM 4144 and 4150

(i) The LCM of 4150 and 4144 is associative

LCM of 4144 and 4150 = LCM of 4150 and 4144

Related Least Common Multiples of 4144

Related Least Common Multiples of 4150

Frequently Asked Questions on LCM of 4144 and 4150

1. What is the LCM of 4144 and 4150?

Answer: LCM of 4144 and 4150 is 8598800.

2. What are the Factors of 4144?

Answer: Factors of 4144 are 1, 2, 4, 7, 8, 14, 16, 28, 37, 56, 74, 112, 148, 259, 296, 518, 592, 1036, 2072, 4144. There are 20 integers that are factors of 4144. The greatest factor of 4144 is 4144.

3. What are the Factors of 4150?

Answer: Factors of 4150 are 1, 2, 5, 10, 25, 50, 83, 166, 415, 830, 2075, 4150. There are 12 integers that are factors of 4150. The greatest factor of 4150 is 4150.

4. How to Find the LCM of 4144 and 4150?

Answer:

Least Common Multiple of 4144 and 4150 = 8598800

Step 1: Find the prime factorization of 4144

4144 = 2 x 2 x 2 x 2 x 7 x 37

Step 2: Find the prime factorization of 4150

4150 = 2 x 5 x 5 x 83

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

LCM = 8598800 = 2 x 2 x 2 x 2 x 5 x 5 x 7 x 37 x 83

Step 4: Therefore, the least common multiple of 4144 and 4150 is 8598800.