Least Common Multiple of 10449 and 10456

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10449 and 10456 the smallest integer that is 109254744 that is divisible by both numbers.

Least Common Multiple (LCM) of 10449 and 10456 is 109254744.

LCM(10449,10456) = 109254744

LCM of 10449 and 10456

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

LCM of:
and

Least Common Multiple of 10449 and 10456

LCM of 10449 and 10456 is 109254744

Least common multiple can be found by multiplying the highest exponent prime factors of 10449 and 10456. First we will calculate the prime factors of 10449 and 10456.

Prime Factorization of 10449


3 10449
3 3483
3 1161
3 387
3 129
43 43
1

Prime factors of 10449 are 3,43. Prime factorization of 10449 in exponential form is:

10449 = 35×431

Prime Factorization of 10456


2 10456
2 5228
2 2614
1307 1307
1

Prime factors of 10456 are 2,1307. Prime factorization of 10456 in exponential form is:

10456 = 23×13071

Now multiplying the highest exponent prime factors to calculate the LCM of 10449 and 10456.

LCM(10449,10456) = 23×35×431×13071
LCM(10449,10456) = 109254744

Factors of 10449

List of positive integer factors of 10449 that divides 10449 without a remainder.

1, 3, 9, 27, 43, 81, 129, 243, 387, 1161, 3483, 10449

Factors of 10456

List of positive integer factors of 10456 that divides 10456 without a remainder.

1, 2, 4, 8, 1307, 2614, 5228, 10456

Least Common Multiple of 10449 and 10456 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10449 and 10456, than apply into the LCM equation.

GCF(10449,10456) = 1
LCM(10449,10456) = ( 10449 × 10456) / 1
LCM(10449,10456) = 109254744 / 1
LCM(10449,10456) = 109254744

Properties of LCM 10449 and 10456

(i) The LCM of 10456 and 10449 is associative

LCM of 10449 and 10456 = LCM of 10456 and 10449

Related Least Common Multiples of 10449

Related Least Common Multiples of 10456

Frequently Asked Questions on LCM of 10449 and 10456

1. What is the LCM of 10449 and 10456?

Answer: LCM of 10449 and 10456 is 109254744.

2. What are the Factors of 10449?

Answer: Factors of 10449 are 1, 3, 9, 27, 43, 81, 129, 243, 387, 1161, 3483, 10449. There are 12 integers that are factors of 10449. The greatest factor of 10449 is 10449.

3. What are the Factors of 10456?

Answer: Factors of 10456 are 1, 2, 4, 8, 1307, 2614, 5228, 10456. There are 8 integers that are factors of 10456. The greatest factor of 10456 is 10456.

4. How to Find the LCM of 10449 and 10456?

Answer:

Least Common Multiple of 10449 and 10456 = 109254744

Step 1: Find the prime factorization of 10449

10449 = 3 x 3 x 3 x 3 x 3 x 43

Step 2: Find the prime factorization of 10456

10456 = 2 x 2 x 2 x 1307

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

LCM = 109254744 = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 3 x 43 x 1307

Step 4: Therefore, the least common multiple of 10449 and 10456 is 109254744.