Least Common Multiple of 1441 and 1448

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1441 and 1448 the smallest integer that is 2086568 that is divisible by both numbers.

Least Common Multiple (LCM) of 1441 and 1448 is 2086568.

LCM(1441,1448) = 2086568

LCM of 1441 and 1448

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

LCM of:
and

Least Common Multiple of 1441 and 1448

LCM of 1441 and 1448 is 2086568

Least common multiple can be found by multiplying the highest exponent prime factors of 1441 and 1448. First we will calculate the prime factors of 1441 and 1448.

Prime Factorization of 1441


11 1441
131 131
1

Prime factors of 1441 are 11,131. Prime factorization of 1441 in exponential form is:

1441 = 111×1311

Prime Factorization of 1448


2 1448
2 724
2 362
181 181
1

Prime factors of 1448 are 2,181. Prime factorization of 1448 in exponential form is:

1448 = 23×1811

Now multiplying the highest exponent prime factors to calculate the LCM of 1441 and 1448.

LCM(1441,1448) = 23×111×1311×1811
LCM(1441,1448) = 2086568

Factors of 1441

List of positive integer factors of 1441 that divides 1441 without a remainder.

1, 11, 131, 1441

Factors of 1448

List of positive integer factors of 1448 that divides 1448 without a remainder.

1, 2, 4, 8, 181, 362, 724, 1448

Least Common Multiple of 1441 and 1448 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1441 and 1448, than apply into the LCM equation.

GCF(1441,1448) = 1
LCM(1441,1448) = ( 1441 × 1448) / 1
LCM(1441,1448) = 2086568 / 1
LCM(1441,1448) = 2086568

Properties of LCM 1441 and 1448

(i) The LCM of 1448 and 1441 is associative

LCM of 1441 and 1448 = LCM of 1448 and 1441

Related Least Common Multiples of 1441

Related Least Common Multiples of 1448

Frequently Asked Questions on LCM of 1441 and 1448

1. What is the LCM of 1441 and 1448?

Answer: LCM of 1441 and 1448 is 2086568.

2. What are the Factors of 1441?

Answer: Factors of 1441 are 1, 11, 131, 1441. There are 4 integers that are factors of 1441. The greatest factor of 1441 is 1441.

3. What are the Factors of 1448?

Answer: Factors of 1448 are 1, 2, 4, 8, 181, 362, 724, 1448. There are 8 integers that are factors of 1448. The greatest factor of 1448 is 1448.

4. How to Find the LCM of 1441 and 1448?

Answer:

Least Common Multiple of 1441 and 1448 = 2086568

Step 1: Find the prime factorization of 1441

1441 = 11 x 131

Step 2: Find the prime factorization of 1448

1448 = 2 x 2 x 2 x 181

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

LCM = 2086568 = 2 x 2 x 2 x 11 x 131 x 181

Step 4: Therefore, the least common multiple of 1441 and 1448 is 2086568.