Least Common Multiple of 10449 and 10457

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 10457 the smallest integer that is 109265193 that is divisible by both numbers.

Least Common Multiple (LCM) of 10449 and 10457 is 109265193.

LCM(10449,10457) = 109265193

LCM of 10449 and 10457

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

LCM of:
and

Least Common Multiple of 10449 and 10457

LCM of 10449 and 10457 is 109265193

Least common multiple can be found by multiplying the highest exponent prime factors of 10449 and 10457. First we will calculate the prime factors of 10449 and 10457.

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 10457


10457 10457
1

Prime factors of 10457 are 10457. Prime factorization of 10457 in exponential form is:

10457 = 104571

Now multiplying the highest exponent prime factors to calculate the LCM of 10449 and 10457.

LCM(10449,10457) = 35×431×104571
LCM(10449,10457) = 109265193

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 10457

List of positive integer factors of 10457 that divides 10457 without a remainder.

1, 10457

Least Common Multiple of 10449 and 10457 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 10457, than apply into the LCM equation.

GCF(10449,10457) = 1
LCM(10449,10457) = ( 10449 × 10457) / 1
LCM(10449,10457) = 109265193 / 1
LCM(10449,10457) = 109265193

Properties of LCM 10449 and 10457

(i) The LCM of 10457 and 10449 is associative

LCM of 10449 and 10457 = LCM of 10457 and 10449

Related Least Common Multiples of 10449

Related Least Common Multiples of 10457

Frequently Asked Questions on LCM of 10449 and 10457

1. What is the LCM of 10449 and 10457?

Answer: LCM of 10449 and 10457 is 109265193.

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 10457?

Answer: Factors of 10457 are 1, 10457. There are 2 integers that are factors of 10457. The greatest factor of 10457 is 10457.

4. How to Find the LCM of 10449 and 10457?

Answer:

Least Common Multiple of 10449 and 10457 = 109265193

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 10457

10457 = 10457

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

LCM = 109265193 = 3 x 3 x 3 x 3 x 3 x 43 x 10457

Step 4: Therefore, the least common multiple of 10449 and 10457 is 109265193.