Least Common Multiple of 8471 and 8475

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8471 and 8475 the smallest integer that is 71791725 that is divisible by both numbers.

Least Common Multiple (LCM) of 8471 and 8475 is 71791725.

LCM(8471,8475) = 71791725

LCM of 8471 and 8475

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

LCM of:
and

Least Common Multiple of 8471 and 8475

LCM of 8471 and 8475 is 71791725

Least common multiple can be found by multiplying the highest exponent prime factors of 8471 and 8475. First we will calculate the prime factors of 8471 and 8475.

Prime Factorization of 8471


43 8471
197 197
1

Prime factors of 8471 are 43,197. Prime factorization of 8471 in exponential form is:

8471 = 431×1971

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8471 and 8475.

LCM(8471,8475) = 31×52×431×1131×1971
LCM(8471,8475) = 71791725

Factors of 8471

List of positive integer factors of 8471 that divides 8471 without a remainder.

1, 43, 197, 8471

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

Least Common Multiple of 8471 and 8475 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8471 and 8475, than apply into the LCM equation.

GCF(8471,8475) = 1
LCM(8471,8475) = ( 8471 × 8475) / 1
LCM(8471,8475) = 71791725 / 1
LCM(8471,8475) = 71791725

Properties of LCM 8471 and 8475

(i) The LCM of 8475 and 8471 is associative

LCM of 8471 and 8475 = LCM of 8475 and 8471

Related Least Common Multiples of 8471

Related Least Common Multiples of 8475

Frequently Asked Questions on LCM of 8471 and 8475

1. What is the LCM of 8471 and 8475?

Answer: LCM of 8471 and 8475 is 71791725.

2. What are the Factors of 8471?

Answer: Factors of 8471 are 1, 43, 197, 8471. There are 4 integers that are factors of 8471. The greatest factor of 8471 is 8471.

3. 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.

4. How to Find the LCM of 8471 and 8475?

Answer:

Least Common Multiple of 8471 and 8475 = 71791725

Step 1: Find the prime factorization of 8471

8471 = 43 x 197

Step 2: Find the prime factorization of 8475

8475 = 3 x 5 x 5 x 113

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

LCM = 71791725 = 3 x 5 x 5 x 43 x 113 x 197

Step 4: Therefore, the least common multiple of 8471 and 8475 is 71791725.