Least Common Multiple of 4144 and 4148

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 4148 the smallest integer that is 4297328 that is divisible by both numbers.

Least Common Multiple (LCM) of 4144 and 4148 is 4297328.

LCM(4144,4148) = 4297328

LCM of 4144 and 4148

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

LCM of:
and

Least Common Multiple of 4144 and 4148

LCM of 4144 and 4148 is 4297328

Least common multiple can be found by multiplying the highest exponent prime factors of 4144 and 4148. First we will calculate the prime factors of 4144 and 4148.

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 4148


2 4148
2 2074
17 1037
61 61
1

Prime factors of 4148 are 2, 17,61. Prime factorization of 4148 in exponential form is:

4148 = 22×171×611

Now multiplying the highest exponent prime factors to calculate the LCM of 4144 and 4148.

LCM(4144,4148) = 24×71×171×371×611
LCM(4144,4148) = 4297328

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 4148

List of positive integer factors of 4148 that divides 4148 without a remainder.

1, 2, 4, 17, 34, 61, 68, 122, 244, 1037, 2074, 4148

Least Common Multiple of 4144 and 4148 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 4148, than apply into the LCM equation.

GCF(4144,4148) = 4
LCM(4144,4148) = ( 4144 × 4148) / 4
LCM(4144,4148) = 17189312 / 4
LCM(4144,4148) = 4297328

Properties of LCM 4144 and 4148

(i) The LCM of 4148 and 4144 is associative

LCM of 4144 and 4148 = LCM of 4148 and 4144

Related Least Common Multiples of 4144

Related Least Common Multiples of 4148

Frequently Asked Questions on LCM of 4144 and 4148

1. What is the LCM of 4144 and 4148?

Answer: LCM of 4144 and 4148 is 4297328.

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 4148?

Answer: Factors of 4148 are 1, 2, 4, 17, 34, 61, 68, 122, 244, 1037, 2074, 4148. There are 12 integers that are factors of 4148. The greatest factor of 4148 is 4148.

4. How to Find the LCM of 4144 and 4148?

Answer:

Least Common Multiple of 4144 and 4148 = 4297328

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 4148

4148 = 2 x 2 x 17 x 61

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

LCM = 4297328 = 2 x 2 x 2 x 2 x 7 x 17 x 37 x 61

Step 4: Therefore, the least common multiple of 4144 and 4148 is 4297328.