Least Common Multiple of 8458 and 8462

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8458 and 8462 the smallest integer that is 35785798 that is divisible by both numbers.

Least Common Multiple (LCM) of 8458 and 8462 is 35785798.

LCM(8458,8462) = 35785798

LCM of 8458 and 8462

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

LCM of:
and

Least Common Multiple of 8458 and 8462

LCM of 8458 and 8462 is 35785798

Least common multiple can be found by multiplying the highest exponent prime factors of 8458 and 8462. First we will calculate the prime factors of 8458 and 8462.

Prime Factorization of 8458


2 8458
4229 4229
1

Prime factors of 8458 are 2,4229. Prime factorization of 8458 in exponential form is:

8458 = 21×42291

Prime Factorization of 8462


2 8462
4231 4231
1

Prime factors of 8462 are 2,4231. Prime factorization of 8462 in exponential form is:

8462 = 21×42311

Now multiplying the highest exponent prime factors to calculate the LCM of 8458 and 8462.

LCM(8458,8462) = 21×42291×42311
LCM(8458,8462) = 35785798

Factors of 8458

List of positive integer factors of 8458 that divides 8458 without a remainder.

1, 2, 4229, 8458

Factors of 8462

List of positive integer factors of 8462 that divides 8462 without a remainder.

1, 2, 4231, 8462

Least Common Multiple of 8458 and 8462 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8458 and 8462, than apply into the LCM equation.

GCF(8458,8462) = 2
LCM(8458,8462) = ( 8458 × 8462) / 2
LCM(8458,8462) = 71571596 / 2
LCM(8458,8462) = 35785798

Properties of LCM 8458 and 8462

(i) The LCM of 8462 and 8458 is associative

LCM of 8458 and 8462 = LCM of 8462 and 8458

Related Least Common Multiples of 8458

Related Least Common Multiples of 8462

Frequently Asked Questions on LCM of 8458 and 8462

1. What is the LCM of 8458 and 8462?

Answer: LCM of 8458 and 8462 is 35785798.

2. What are the Factors of 8458?

Answer: Factors of 8458 are 1, 2, 4229, 8458. There are 4 integers that are factors of 8458. The greatest factor of 8458 is 8458.

3. What are the Factors of 8462?

Answer: Factors of 8462 are 1, 2, 4231, 8462. There are 4 integers that are factors of 8462. The greatest factor of 8462 is 8462.

4. How to Find the LCM of 8458 and 8462?

Answer:

Least Common Multiple of 8458 and 8462 = 35785798

Step 1: Find the prime factorization of 8458

8458 = 2 x 4229

Step 2: Find the prime factorization of 8462

8462 = 2 x 4231

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

LCM = 35785798 = 2 x 4229 x 4231

Step 4: Therefore, the least common multiple of 8458 and 8462 is 35785798.