Least Common Multiple of 8475 and 8483

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8475 and 8483 the smallest integer that is 71893425 that is divisible by both numbers.

Least Common Multiple (LCM) of 8475 and 8483 is 71893425.

LCM(8475,8483) = 71893425

LCM of 8475 and 8483

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

LCM of:
and

Least Common Multiple of 8475 and 8483

LCM of 8475 and 8483 is 71893425

Least common multiple can be found by multiplying the highest exponent prime factors of 8475 and 8483. First we will calculate the prime factors of 8475 and 8483.

Prime Factorization of 8475


3 8475
5 2825
5 565
113 113
1

Prime factors of 8475 are 3, 5,113. Prime factorization of 8475 in exponential form is:

8475 = 31×52×1131

Prime Factorization of 8483


17 8483
499 499
1

Prime factors of 8483 are 17,499. Prime factorization of 8483 in exponential form is:

8483 = 171×4991

Now multiplying the highest exponent prime factors to calculate the LCM of 8475 and 8483.

LCM(8475,8483) = 31×52×171×1131×4991
LCM(8475,8483) = 71893425

Factors of 8475

List of positive integer factors of 8475 that divides 8475 without a remainder.

1, 3, 5, 15, 25, 75, 113, 339, 565, 1695, 2825, 8475

Factors of 8483

List of positive integer factors of 8483 that divides 8483 without a remainder.

1, 17, 499, 8483

Least Common Multiple of 8475 and 8483 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8475 and 8483, than apply into the LCM equation.

GCF(8475,8483) = 1
LCM(8475,8483) = ( 8475 × 8483) / 1
LCM(8475,8483) = 71893425 / 1
LCM(8475,8483) = 71893425

Properties of LCM 8475 and 8483

(i) The LCM of 8483 and 8475 is associative

LCM of 8475 and 8483 = LCM of 8483 and 8475

Related Least Common Multiples of 8475

Related Least Common Multiples of 8483

Frequently Asked Questions on LCM of 8475 and 8483

1. What is the LCM of 8475 and 8483?

Answer: LCM of 8475 and 8483 is 71893425.

2. What are the Factors of 8475?

Answer: Factors of 8475 are 1, 3, 5, 15, 25, 75, 113, 339, 565, 1695, 2825, 8475. There are 12 integers that are factors of 8475. The greatest factor of 8475 is 8475.

3. What are the Factors of 8483?

Answer: Factors of 8483 are 1, 17, 499, 8483. There are 4 integers that are factors of 8483. The greatest factor of 8483 is 8483.

4. How to Find the LCM of 8475 and 8483?

Answer:

Least Common Multiple of 8475 and 8483 = 71893425

Step 1: Find the prime factorization of 8475

8475 = 3 x 5 x 5 x 113

Step 2: Find the prime factorization of 8483

8483 = 17 x 499

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

LCM = 71893425 = 3 x 5 x 5 x 17 x 113 x 499

Step 4: Therefore, the least common multiple of 8475 and 8483 is 71893425.