Least Common Multiple of 8450 and 8451

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 8451 the smallest integer that is 71410950 that is divisible by both numbers.

Least Common Multiple (LCM) of 8450 and 8451 is 71410950.

LCM(8450,8451) = 71410950

LCM of 8450 and 8451

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

LCM of:
and

Least Common Multiple of 8450 and 8451

LCM of 8450 and 8451 is 71410950

Least common multiple can be found by multiplying the highest exponent prime factors of 8450 and 8451. First we will calculate the prime factors of 8450 and 8451.

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 8451


3 8451
3 2817
3 939
313 313
1

Prime factors of 8451 are 3,313. Prime factorization of 8451 in exponential form is:

8451 = 33×3131

Now multiplying the highest exponent prime factors to calculate the LCM of 8450 and 8451.

LCM(8450,8451) = 21×33×52×132×3131
LCM(8450,8451) = 71410950

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 8451

List of positive integer factors of 8451 that divides 8451 without a remainder.

1, 3, 9, 27, 313, 939, 2817, 8451

Least Common Multiple of 8450 and 8451 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 8451, than apply into the LCM equation.

GCF(8450,8451) = 1
LCM(8450,8451) = ( 8450 × 8451) / 1
LCM(8450,8451) = 71410950 / 1
LCM(8450,8451) = 71410950

Properties of LCM 8450 and 8451

(i) The LCM of 8451 and 8450 is associative

LCM of 8450 and 8451 = LCM of 8451 and 8450

Related Least Common Multiples of 8450

Related Least Common Multiples of 8451

Frequently Asked Questions on LCM of 8450 and 8451

1. What is the LCM of 8450 and 8451?

Answer: LCM of 8450 and 8451 is 71410950.

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 8451?

Answer: Factors of 8451 are 1, 3, 9, 27, 313, 939, 2817, 8451. There are 8 integers that are factors of 8451. The greatest factor of 8451 is 8451.

4. How to Find the LCM of 8450 and 8451?

Answer:

Least Common Multiple of 8450 and 8451 = 71410950

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 8451

8451 = 3 x 3 x 3 x 313

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

LCM = 71410950 = 2 x 3 x 3 x 3 x 5 x 5 x 13 x 13 x 313

Step 4: Therefore, the least common multiple of 8450 and 8451 is 71410950.