Least Common Multiple of 10457 and 10462

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10457 and 10462 the smallest integer that is 109401134 that is divisible by both numbers.

Least Common Multiple (LCM) of 10457 and 10462 is 109401134.

LCM(10457,10462) = 109401134

LCM of 10457 and 10462

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

LCM of:
and

Least Common Multiple of 10457 and 10462

LCM of 10457 and 10462 is 109401134

Least common multiple can be found by multiplying the highest exponent prime factors of 10457 and 10462. First we will calculate the prime factors of 10457 and 10462.

Prime Factorization of 10457


10457 10457
1

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

10457 = 104571

Prime Factorization of 10462


2 10462
5231 5231
1

Prime factors of 10462 are 2,5231. Prime factorization of 10462 in exponential form is:

10462 = 21×52311

Now multiplying the highest exponent prime factors to calculate the LCM of 10457 and 10462.

LCM(10457,10462) = 21×52311×104571
LCM(10457,10462) = 109401134

Factors of 10457

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

1, 10457

Factors of 10462

List of positive integer factors of 10462 that divides 10462 without a remainder.

1, 2, 5231, 10462

Least Common Multiple of 10457 and 10462 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10457 and 10462, than apply into the LCM equation.

GCF(10457,10462) = 1
LCM(10457,10462) = ( 10457 × 10462) / 1
LCM(10457,10462) = 109401134 / 1
LCM(10457,10462) = 109401134

Properties of LCM 10457 and 10462

(i) The LCM of 10462 and 10457 is associative

LCM of 10457 and 10462 = LCM of 10462 and 10457

Related Least Common Multiples of 10457

Related Least Common Multiples of 10462

Frequently Asked Questions on LCM of 10457 and 10462

1. What is the LCM of 10457 and 10462?

Answer: LCM of 10457 and 10462 is 109401134.

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 10462?

Answer: Factors of 10462 are 1, 2, 5231, 10462. There are 4 integers that are factors of 10462. The greatest factor of 10462 is 10462.

4. How to Find the LCM of 10457 and 10462?

Answer:

Least Common Multiple of 10457 and 10462 = 109401134

Step 1: Find the prime factorization of 10457

10457 = 10457

Step 2: Find the prime factorization of 10462

10462 = 2 x 5231

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

LCM = 109401134 = 2 x 5231 x 10457

Step 4: Therefore, the least common multiple of 10457 and 10462 is 109401134.