Least Common Multiple of 8471 and 8479

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 8479 the smallest integer that is 71825609 that is divisible by both numbers.

Least Common Multiple (LCM) of 8471 and 8479 is 71825609.

LCM(8471,8479) = 71825609

LCM of 8471 and 8479

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

LCM of:
and

Least Common Multiple of 8471 and 8479

LCM of 8471 and 8479 is 71825609

Least common multiple can be found by multiplying the highest exponent prime factors of 8471 and 8479. First we will calculate the prime factors of 8471 and 8479.

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 8479


61 8479
139 139
1

Prime factors of 8479 are 61,139. Prime factorization of 8479 in exponential form is:

8479 = 611×1391

Now multiplying the highest exponent prime factors to calculate the LCM of 8471 and 8479.

LCM(8471,8479) = 431×611×1391×1971
LCM(8471,8479) = 71825609

Factors of 8471

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

1, 43, 197, 8471

Factors of 8479

List of positive integer factors of 8479 that divides 8479 without a remainder.

1, 61, 139, 8479

Least Common Multiple of 8471 and 8479 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 8479, than apply into the LCM equation.

GCF(8471,8479) = 1
LCM(8471,8479) = ( 8471 × 8479) / 1
LCM(8471,8479) = 71825609 / 1
LCM(8471,8479) = 71825609

Properties of LCM 8471 and 8479

(i) The LCM of 8479 and 8471 is associative

LCM of 8471 and 8479 = LCM of 8479 and 8471

Frequently Asked Questions on LCM of 8471 and 8479

1. What is the LCM of 8471 and 8479?

Answer: LCM of 8471 and 8479 is 71825609.

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 8479?

Answer: Factors of 8479 are 1, 61, 139, 8479. There are 4 integers that are factors of 8479. The greatest factor of 8479 is 8479.

4. How to Find the LCM of 8471 and 8479?

Answer:

Least Common Multiple of 8471 and 8479 = 71825609

Step 1: Find the prime factorization of 8471

8471 = 43 x 197

Step 2: Find the prime factorization of 8479

8479 = 61 x 139

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

LCM = 71825609 = 43 x 61 x 139 x 197

Step 4: Therefore, the least common multiple of 8471 and 8479 is 71825609.