Least Common Multiple of 10457 and 10465

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

• Least Common Multiple of 10457 and 10465 by Prime method
• Least Common Multiple of 10457 and 10465 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 10457 and 10465. First we will calculate the prime factors of 10457 and 10465.

Prime Factorization of 10457

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

10457 = 10457¹

Prime Factorization of 10465

Prime factors of 10465 are 5, 7, 13,23. Prime factorization of 10465 in exponential form is:

10465 = 5¹×7¹×13¹×23¹

Now multiplying the highest exponent prime factors to calculate the LCM of 10457 and 10465.

LCM(10457,10465) = 5¹×7¹×13¹×23¹×10457¹
LCM(10457,10465) = 109432505

Factors of 10457

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

1, 10457

Factors of 10465

List of positive integer factors of 10465 that divides 10465 without a remainder.

1, 5, 7, 13, 23, 35, 65, 91, 115, 161, 299, 455, 805, 1495, 2093, 10465

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10457 and 10465, than apply into the LCM equation.

GCF(10457,10465) = 1
LCM(10457,10465) = ( 10457 × 10465) / 1
LCM(10457,10465) = 109432505 / 1
LCM(10457,10465) = 109432505

(i) The LCM of 10465 and 10457 is associative

LCM of 10457 and 10465 = LCM of 10465 and 10457

1. What is the LCM of 10457 and 10465?

Answer: LCM of 10457 and 10465 is 109432505.

2. 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.

3. What are the Factors of 10465?

Answer: Factors of 10465 are 1, 5, 7, 13, 23, 35, 65, 91, 115, 161, 299, 455, 805, 1495, 2093, 10465. There are 16 integers that are factors of 10465. The greatest factor of 10465 is 10465.

4. How to Find the LCM of 10457 and 10465?

Answer:

Least Common Multiple of 10457 and 10465 = 109432505

Step 1: Find the prime factorization of 10457

10457 = 10457

Step 2: Find the prime factorization of 10465

10465 = 5 x 7 x 13 x 23

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

LCM = 109432505 = 5 x 7 x 13 x 23 x 10457

Step 4: Therefore, the least common multiple of 10457 and 10465 is 109432505.