Least Common Multiple of 8472 and 8473

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8472 and 8473 the smallest integer that is 71783256 that is divisible by both numbers.

Least Common Multiple (LCM) of 8472 and 8473 is 71783256.

LCM(8472,8473) = 71783256

LCM of 8472 and 8473

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

LCM of:
and

Least Common Multiple of 8472 and 8473

LCM of 8472 and 8473 is 71783256

Least common multiple can be found by multiplying the highest exponent prime factors of 8472 and 8473. First we will calculate the prime factors of 8472 and 8473.

Prime Factorization of 8472


2 8472
2 4236
2 2118
3 1059
353 353
1

Prime factors of 8472 are 2, 3,353. Prime factorization of 8472 in exponential form is:

8472 = 23×31×3531

Prime Factorization of 8473


37 8473
229 229
1

Prime factors of 8473 are 37,229. Prime factorization of 8473 in exponential form is:

8473 = 371×2291

Now multiplying the highest exponent prime factors to calculate the LCM of 8472 and 8473.

LCM(8472,8473) = 23×31×371×2291×3531
LCM(8472,8473) = 71783256

Factors of 8472

List of positive integer factors of 8472 that divides 8472 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 353, 706, 1059, 1412, 2118, 2824, 4236, 8472

Factors of 8473

List of positive integer factors of 8473 that divides 8473 without a remainder.

1, 37, 229, 8473

Least Common Multiple of 8472 and 8473 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8472 and 8473, than apply into the LCM equation.

GCF(8472,8473) = 1
LCM(8472,8473) = ( 8472 × 8473) / 1
LCM(8472,8473) = 71783256 / 1
LCM(8472,8473) = 71783256

Properties of LCM 8472 and 8473

(i) The LCM of 8473 and 8472 is associative

LCM of 8472 and 8473 = LCM of 8473 and 8472

Related Least Common Multiples of 8472

Related Least Common Multiples of 8473

Frequently Asked Questions on LCM of 8472 and 8473

1. What is the LCM of 8472 and 8473?

Answer: LCM of 8472 and 8473 is 71783256.

2. What are the Factors of 8472?

Answer: Factors of 8472 are 1, 2, 3, 4, 6, 8, 12, 24, 353, 706, 1059, 1412, 2118, 2824, 4236, 8472. There are 16 integers that are factors of 8472. The greatest factor of 8472 is 8472.

3. What are the Factors of 8473?

Answer: Factors of 8473 are 1, 37, 229, 8473. There are 4 integers that are factors of 8473. The greatest factor of 8473 is 8473.

4. How to Find the LCM of 8472 and 8473?

Answer:

Least Common Multiple of 8472 and 8473 = 71783256

Step 1: Find the prime factorization of 8472

8472 = 2 x 2 x 2 x 3 x 353

Step 2: Find the prime factorization of 8473

8473 = 37 x 229

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

LCM = 71783256 = 2 x 2 x 2 x 3 x 37 x 229 x 353

Step 4: Therefore, the least common multiple of 8472 and 8473 is 71783256.