Least Common Multiple of 10441 and 10448

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10441 and 10448 the smallest integer that is 109087568 that is divisible by both numbers.

Least Common Multiple (LCM) of 10441 and 10448 is 109087568.

LCM(10441,10448) = 109087568

LCM of 10441 and 10448

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

LCM of:
and

Least Common Multiple of 10441 and 10448

LCM of 10441 and 10448 is 109087568

Least common multiple can be found by multiplying the highest exponent prime factors of 10441 and 10448. First we will calculate the prime factors of 10441 and 10448.

Prime Factorization of 10441


53 10441
197 197
1

Prime factors of 10441 are 53,197. Prime factorization of 10441 in exponential form is:

10441 = 531×1971

Prime Factorization of 10448


2 10448
2 5224
2 2612
2 1306
653 653
1

Prime factors of 10448 are 2,653. Prime factorization of 10448 in exponential form is:

10448 = 24×6531

Now multiplying the highest exponent prime factors to calculate the LCM of 10441 and 10448.

LCM(10441,10448) = 24×531×1971×6531
LCM(10441,10448) = 109087568

Factors of 10441

List of positive integer factors of 10441 that divides 10441 without a remainder.

1, 53, 197, 10441

Factors of 10448

List of positive integer factors of 10448 that divides 10448 without a remainder.

1, 2, 4, 8, 16, 653, 1306, 2612, 5224, 10448

Least Common Multiple of 10441 and 10448 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10441 and 10448, than apply into the LCM equation.

GCF(10441,10448) = 1
LCM(10441,10448) = ( 10441 × 10448) / 1
LCM(10441,10448) = 109087568 / 1
LCM(10441,10448) = 109087568

Properties of LCM 10441 and 10448

(i) The LCM of 10448 and 10441 is associative

LCM of 10441 and 10448 = LCM of 10448 and 10441

Related Least Common Multiples of 10441

Related Least Common Multiples of 10448

Frequently Asked Questions on LCM of 10441 and 10448

1. What is the LCM of 10441 and 10448?

Answer: LCM of 10441 and 10448 is 109087568.

2. What are the Factors of 10441?

Answer: Factors of 10441 are 1, 53, 197, 10441. There are 4 integers that are factors of 10441. The greatest factor of 10441 is 10441.

3. What are the Factors of 10448?

Answer: Factors of 10448 are 1, 2, 4, 8, 16, 653, 1306, 2612, 5224, 10448. There are 10 integers that are factors of 10448. The greatest factor of 10448 is 10448.

4. How to Find the LCM of 10441 and 10448?

Answer:

Least Common Multiple of 10441 and 10448 = 109087568

Step 1: Find the prime factorization of 10441

10441 = 53 x 197

Step 2: Find the prime factorization of 10448

10448 = 2 x 2 x 2 x 2 x 653

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

LCM = 109087568 = 2 x 2 x 2 x 2 x 53 x 197 x 653

Step 4: Therefore, the least common multiple of 10441 and 10448 is 109087568.