Least Common Multiple of 1448 and 1456

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1448 and 1456 the smallest integer that is 263536 that is divisible by both numbers.

Least Common Multiple (LCM) of 1448 and 1456 is 263536.

LCM(1448,1456) = 263536

LCM of 1448 and 1456

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

LCM of:
and

Least Common Multiple of 1448 and 1456

LCM of 1448 and 1456 is 263536

Least common multiple can be found by multiplying the highest exponent prime factors of 1448 and 1456. First we will calculate the prime factors of 1448 and 1456.

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

Prime Factorization of 1456


2 1456
2 728
2 364
2 182
7 91
13 13
1

Prime factors of 1456 are 2, 7,13. Prime factorization of 1456 in exponential form is:

1456 = 24×71×131

Now multiplying the highest exponent prime factors to calculate the LCM of 1448 and 1456.

LCM(1448,1456) = 24×71×131×1811
LCM(1448,1456) = 263536

Factors of 1448

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

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

Factors of 1456

List of positive integer factors of 1456 that divides 1456 without a remainder.

1, 2, 4, 7, 8, 13, 14, 16, 26, 28, 52, 56, 91, 104, 112, 182, 208, 364, 728, 1456

Least Common Multiple of 1448 and 1456 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1448 and 1456, than apply into the LCM equation.

GCF(1448,1456) = 8
LCM(1448,1456) = ( 1448 × 1456) / 8
LCM(1448,1456) = 2108288 / 8
LCM(1448,1456) = 263536

Properties of LCM 1448 and 1456

(i) The LCM of 1456 and 1448 is associative

LCM of 1448 and 1456 = LCM of 1456 and 1448

Related Least Common Multiples of 1448

Related Least Common Multiples of 1456

Frequently Asked Questions on LCM of 1448 and 1456

1. What is the LCM of 1448 and 1456?

Answer: LCM of 1448 and 1456 is 263536.

2. 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.

3. What are the Factors of 1456?

Answer: Factors of 1456 are 1, 2, 4, 7, 8, 13, 14, 16, 26, 28, 52, 56, 91, 104, 112, 182, 208, 364, 728, 1456. There are 20 integers that are factors of 1456. The greatest factor of 1456 is 1456.

4. How to Find the LCM of 1448 and 1456?

Answer:

Least Common Multiple of 1448 and 1456 = 263536

Step 1: Find the prime factorization of 1448

1448 = 2 x 2 x 2 x 181

Step 2: Find the prime factorization of 1456

1456 = 2 x 2 x 2 x 2 x 7 x 13

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

LCM = 263536 = 2 x 2 x 2 x 2 x 7 x 13 x 181

Step 4: Therefore, the least common multiple of 1448 and 1456 is 263536.