Least Common Multiple of 8472 and 8476

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 8476 the smallest integer that is 17952168 that is divisible by both numbers.

Least Common Multiple (LCM) of 8472 and 8476 is 17952168.

LCM(8472,8476) = 17952168

LCM of 8472 and 8476

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

LCM of:
and

Least Common Multiple of 8472 and 8476

LCM of 8472 and 8476 is 17952168

Least common multiple can be found by multiplying the highest exponent prime factors of 8472 and 8476. First we will calculate the prime factors of 8472 and 8476.

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 8476


2 8476
2 4238
13 2119
163 163
1

Prime factors of 8476 are 2, 13,163. Prime factorization of 8476 in exponential form is:

8476 = 22×131×1631

Now multiplying the highest exponent prime factors to calculate the LCM of 8472 and 8476.

LCM(8472,8476) = 23×31×131×1631×3531
LCM(8472,8476) = 17952168

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 8476

List of positive integer factors of 8476 that divides 8476 without a remainder.

1, 2, 4, 13, 26, 52, 163, 326, 652, 2119, 4238, 8476

Least Common Multiple of 8472 and 8476 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 8476, than apply into the LCM equation.

GCF(8472,8476) = 4
LCM(8472,8476) = ( 8472 × 8476) / 4
LCM(8472,8476) = 71808672 / 4
LCM(8472,8476) = 17952168

Properties of LCM 8472 and 8476

(i) The LCM of 8476 and 8472 is associative

LCM of 8472 and 8476 = LCM of 8476 and 8472

Related Least Common Multiples of 8472

Related Least Common Multiples of 8476

Frequently Asked Questions on LCM of 8472 and 8476

1. What is the LCM of 8472 and 8476?

Answer: LCM of 8472 and 8476 is 17952168.

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 8476?

Answer: Factors of 8476 are 1, 2, 4, 13, 26, 52, 163, 326, 652, 2119, 4238, 8476. There are 12 integers that are factors of 8476. The greatest factor of 8476 is 8476.

4. How to Find the LCM of 8472 and 8476?

Answer:

Least Common Multiple of 8472 and 8476 = 17952168

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 8476

8476 = 2 x 2 x 13 x 163

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

LCM = 17952168 = 2 x 2 x 2 x 3 x 13 x 163 x 353

Step 4: Therefore, the least common multiple of 8472 and 8476 is 17952168.