Least Common Multiple of 2144 and 2148

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2144 and 2148 the smallest integer that is 1151328 that is divisible by both numbers.

Least Common Multiple (LCM) of 2144 and 2148 is 1151328.

LCM(2144,2148) = 1151328

LCM of 2144 and 2148

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

LCM of:
and

Least Common Multiple of 2144 and 2148

LCM of 2144 and 2148 is 1151328

Least common multiple can be found by multiplying the highest exponent prime factors of 2144 and 2148. First we will calculate the prime factors of 2144 and 2148.

Prime Factorization of 2144


2 2144
2 1072
2 536
2 268
2 134
67 67
1

Prime factors of 2144 are 2,67. Prime factorization of 2144 in exponential form is:

2144 = 25×671

Prime Factorization of 2148


2 2148
2 1074
3 537
179 179
1

Prime factors of 2148 are 2, 3,179. Prime factorization of 2148 in exponential form is:

2148 = 22×31×1791

Now multiplying the highest exponent prime factors to calculate the LCM of 2144 and 2148.

LCM(2144,2148) = 25×31×671×1791
LCM(2144,2148) = 1151328

Factors of 2144

List of positive integer factors of 2144 that divides 2144 without a remainder.

1, 2, 4, 8, 16, 32, 67, 134, 268, 536, 1072, 2144

Factors of 2148

List of positive integer factors of 2148 that divides 2148 without a remainder.

1, 2, 3, 4, 6, 12, 179, 358, 537, 716, 1074, 2148

Least Common Multiple of 2144 and 2148 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2144 and 2148, than apply into the LCM equation.

GCF(2144,2148) = 4
LCM(2144,2148) = ( 2144 × 2148) / 4
LCM(2144,2148) = 4605312 / 4
LCM(2144,2148) = 1151328

Properties of LCM 2144 and 2148

(i) The LCM of 2148 and 2144 is associative

LCM of 2144 and 2148 = LCM of 2148 and 2144

Related Least Common Multiples of 2144

Related Least Common Multiples of 2148

Frequently Asked Questions on LCM of 2144 and 2148

1. What is the LCM of 2144 and 2148?

Answer: LCM of 2144 and 2148 is 1151328.

2. What are the Factors of 2144?

Answer: Factors of 2144 are 1, 2, 4, 8, 16, 32, 67, 134, 268, 536, 1072, 2144. There are 12 integers that are factors of 2144. The greatest factor of 2144 is 2144.

3. What are the Factors of 2148?

Answer: Factors of 2148 are 1, 2, 3, 4, 6, 12, 179, 358, 537, 716, 1074, 2148. There are 12 integers that are factors of 2148. The greatest factor of 2148 is 2148.

4. How to Find the LCM of 2144 and 2148?

Answer:

Least Common Multiple of 2144 and 2148 = 1151328

Step 1: Find the prime factorization of 2144

2144 = 2 x 2 x 2 x 2 x 2 x 67

Step 2: Find the prime factorization of 2148

2148 = 2 x 2 x 3 x 179

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

LCM = 1151328 = 2 x 2 x 2 x 2 x 2 x 3 x 67 x 179

Step 4: Therefore, the least common multiple of 2144 and 2148 is 1151328.