Least Common Multiple of 8450 and 8456

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 8456 the smallest integer that is 35726600 that is divisible by both numbers.

Least Common Multiple (LCM) of 8450 and 8456 is 35726600.

LCM(8450,8456) = 35726600

LCM of 8450 and 8456

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

LCM of:
and

Least Common Multiple of 8450 and 8456

LCM of 8450 and 8456 is 35726600

Least common multiple can be found by multiplying the highest exponent prime factors of 8450 and 8456. First we will calculate the prime factors of 8450 and 8456.

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 8456


2 8456
2 4228
2 2114
7 1057
151 151
1

Prime factors of 8456 are 2, 7,151. Prime factorization of 8456 in exponential form is:

8456 = 23×71×1511

Now multiplying the highest exponent prime factors to calculate the LCM of 8450 and 8456.

LCM(8450,8456) = 23×52×71×132×1511
LCM(8450,8456) = 35726600

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 8456

List of positive integer factors of 8456 that divides 8456 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 151, 302, 604, 1057, 1208, 2114, 4228, 8456

Least Common Multiple of 8450 and 8456 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 8456, than apply into the LCM equation.

GCF(8450,8456) = 2
LCM(8450,8456) = ( 8450 × 8456) / 2
LCM(8450,8456) = 71453200 / 2
LCM(8450,8456) = 35726600

Properties of LCM 8450 and 8456

(i) The LCM of 8456 and 8450 is associative

LCM of 8450 and 8456 = LCM of 8456 and 8450

Related Least Common Multiples of 8450

Related Least Common Multiples of 8456

Frequently Asked Questions on LCM of 8450 and 8456

1. What is the LCM of 8450 and 8456?

Answer: LCM of 8450 and 8456 is 35726600.

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 8456?

Answer: Factors of 8456 are 1, 2, 4, 7, 8, 14, 28, 56, 151, 302, 604, 1057, 1208, 2114, 4228, 8456. There are 16 integers that are factors of 8456. The greatest factor of 8456 is 8456.

4. How to Find the LCM of 8450 and 8456?

Answer:

Least Common Multiple of 8450 and 8456 = 35726600

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 8456

8456 = 2 x 2 x 2 x 7 x 151

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

LCM = 35726600 = 2 x 2 x 2 x 5 x 5 x 7 x 13 x 13 x 151

Step 4: Therefore, the least common multiple of 8450 and 8456 is 35726600.