Least Common Multiple of 8450 and 8458

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8450 and 8458 the smallest integer that is 35735050 that is divisible by both numbers.

Least Common Multiple (LCM) of 8450 and 8458 is 35735050.

LCM(8450,8458) = 35735050

LCM of 8450 and 8458

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

LCM of:
and

Least Common Multiple of 8450 and 8458

LCM of 8450 and 8458 is 35735050

Least common multiple can be found by multiplying the highest exponent prime factors of 8450 and 8458. First we will calculate the prime factors of 8450 and 8458.

Prime Factorization of 8450


2 8450
5 4225
5 845
13 169
13 13
1

Prime factors of 8450 are 2, 5,13. Prime factorization of 8450 in exponential form is:

8450 = 21×52×132

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8450 and 8458.

LCM(8450,8458) = 21×52×132×42291
LCM(8450,8458) = 35735050

Factors of 8450

List of positive integer factors of 8450 that divides 8450 without a remainder.

1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 169, 325, 338, 650, 845, 1690, 4225, 8450

Factors of 8458

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

1, 2, 4229, 8458

Least Common Multiple of 8450 and 8458 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8450 and 8458, than apply into the LCM equation.

GCF(8450,8458) = 2
LCM(8450,8458) = ( 8450 × 8458) / 2
LCM(8450,8458) = 71470100 / 2
LCM(8450,8458) = 35735050

Properties of LCM 8450 and 8458

(i) The LCM of 8458 and 8450 is associative

LCM of 8450 and 8458 = LCM of 8458 and 8450

Related Least Common Multiples of 8450

Related Least Common Multiples of 8458

Frequently Asked Questions on LCM of 8450 and 8458

1. What is the LCM of 8450 and 8458?

Answer: LCM of 8450 and 8458 is 35735050.

2. What are the Factors of 8450?

Answer: Factors of 8450 are 1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 169, 325, 338, 650, 845, 1690, 4225, 8450. There are 18 integers that are factors of 8450. The greatest factor of 8450 is 8450.

3. 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.

4. How to Find the LCM of 8450 and 8458?

Answer:

Least Common Multiple of 8450 and 8458 = 35735050

Step 1: Find the prime factorization of 8450

8450 = 2 x 5 x 5 x 13 x 13

Step 2: Find the prime factorization of 8458

8458 = 2 x 4229

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

LCM = 35735050 = 2 x 5 x 5 x 13 x 13 x 4229

Step 4: Therefore, the least common multiple of 8450 and 8458 is 35735050.