Least Common Multiple of 8469 and 8477

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8469 and 8477 the smallest integer that is 71791713 that is divisible by both numbers.

Least Common Multiple (LCM) of 8469 and 8477 is 71791713.

LCM(8469,8477) = 71791713

LCM of 8469 and 8477

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

LCM of:
and

Least Common Multiple of 8469 and 8477

LCM of 8469 and 8477 is 71791713

Least common multiple can be found by multiplying the highest exponent prime factors of 8469 and 8477. First we will calculate the prime factors of 8469 and 8477.

Prime Factorization of 8469


3 8469
3 2823
941 941
1

Prime factors of 8469 are 3,941. Prime factorization of 8469 in exponential form is:

8469 = 32×9411

Prime Factorization of 8477


7 8477
7 1211
173 173
1

Prime factors of 8477 are 7,173. Prime factorization of 8477 in exponential form is:

8477 = 72×1731

Now multiplying the highest exponent prime factors to calculate the LCM of 8469 and 8477.

LCM(8469,8477) = 32×72×1731×9411
LCM(8469,8477) = 71791713

Factors of 8469

List of positive integer factors of 8469 that divides 8469 without a remainder.

1, 3, 9, 941, 2823, 8469

Factors of 8477

List of positive integer factors of 8477 that divides 8477 without a remainder.

1, 7, 49, 173, 1211, 8477

Least Common Multiple of 8469 and 8477 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8469 and 8477, than apply into the LCM equation.

GCF(8469,8477) = 1
LCM(8469,8477) = ( 8469 × 8477) / 1
LCM(8469,8477) = 71791713 / 1
LCM(8469,8477) = 71791713

Properties of LCM 8469 and 8477

(i) The LCM of 8477 and 8469 is associative

LCM of 8469 and 8477 = LCM of 8477 and 8469

Related Least Common Multiples of 8469

Related Least Common Multiples of 8477

Frequently Asked Questions on LCM of 8469 and 8477

1. What is the LCM of 8469 and 8477?

Answer: LCM of 8469 and 8477 is 71791713.

2. What are the Factors of 8469?

Answer: Factors of 8469 are 1, 3, 9, 941, 2823, 8469. There are 6 integers that are factors of 8469. The greatest factor of 8469 is 8469.

3. What are the Factors of 8477?

Answer: Factors of 8477 are 1, 7, 49, 173, 1211, 8477. There are 6 integers that are factors of 8477. The greatest factor of 8477 is 8477.

4. How to Find the LCM of 8469 and 8477?

Answer:

Least Common Multiple of 8469 and 8477 = 71791713

Step 1: Find the prime factorization of 8469

8469 = 3 x 3 x 941

Step 2: Find the prime factorization of 8477

8477 = 7 x 7 x 173

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

LCM = 71791713 = 3 x 3 x 7 x 7 x 173 x 941

Step 4: Therefore, the least common multiple of 8469 and 8477 is 71791713.