Least Common Multiple of 10459 and 10463

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10459 and 10463 the smallest integer that is 109432517 that is divisible by both numbers.

Least Common Multiple (LCM) of 10459 and 10463 is 109432517.

LCM(10459,10463) = 109432517

LCM of 10459 and 10463

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

LCM of:
and

Least Common Multiple of 10459 and 10463

LCM of 10459 and 10463 is 109432517

Least common multiple can be found by multiplying the highest exponent prime factors of 10459 and 10463. First we will calculate the prime factors of 10459 and 10463.

Prime Factorization of 10459


10459 10459
1

Prime factors of 10459 are 10459. Prime factorization of 10459 in exponential form is:

10459 = 104591

Prime Factorization of 10463


10463 10463
1

Prime factors of 10463 are 10463. Prime factorization of 10463 in exponential form is:

10463 = 104631

Now multiplying the highest exponent prime factors to calculate the LCM of 10459 and 10463.

LCM(10459,10463) = 104591×104631
LCM(10459,10463) = 109432517

Factors of 10459

List of positive integer factors of 10459 that divides 10459 without a remainder.

1, 10459

Factors of 10463

List of positive integer factors of 10463 that divides 10463 without a remainder.

1, 10463

Least Common Multiple of 10459 and 10463 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10459 and 10463, than apply into the LCM equation.

GCF(10459,10463) = 1
LCM(10459,10463) = ( 10459 × 10463) / 1
LCM(10459,10463) = 109432517 / 1
LCM(10459,10463) = 109432517

Properties of LCM 10459 and 10463

(i) The LCM of 10463 and 10459 is associative

LCM of 10459 and 10463 = LCM of 10463 and 10459

Related Least Common Multiples of 10459

Related Least Common Multiples of 10463

Frequently Asked Questions on LCM of 10459 and 10463

1. What is the LCM of 10459 and 10463?

Answer: LCM of 10459 and 10463 is 109432517.

2. What are the Factors of 10459?

Answer: Factors of 10459 are 1, 10459. There are 2 integers that are factors of 10459. The greatest factor of 10459 is 10459.

3. What are the Factors of 10463?

Answer: Factors of 10463 are 1, 10463. There are 2 integers that are factors of 10463. The greatest factor of 10463 is 10463.

4. How to Find the LCM of 10459 and 10463?

Answer:

Least Common Multiple of 10459 and 10463 = 109432517

Step 1: Find the prime factorization of 10459

10459 = 10459

Step 2: Find the prime factorization of 10463

10463 = 10463

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

LCM = 109432517 = 10459 x 10463

Step 4: Therefore, the least common multiple of 10459 and 10463 is 109432517.