Least Common Multiple of 8472 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 8472 and 8475 the smallest integer that is 23933400 that is divisible by both numbers.

Least Common Multiple (LCM) of 8472 and 8475 is 23933400.

LCM(8472,8475) = 23933400

LCM of 8472 and 8475

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

LCM of:
and

Least Common Multiple of 8472 and 8475

LCM of 8472 and 8475 is 23933400

Least common multiple can be found by multiplying the highest exponent prime factors of 8472 and 8475. First we will calculate the prime factors of 8472 and 8475.

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 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 8472 and 8475.

LCM(8472,8475) = 23×31×52×1131×3531
LCM(8472,8475) = 23933400

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 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 8472 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 8472 and 8475, than apply into the LCM equation.

GCF(8472,8475) = 3
LCM(8472,8475) = ( 8472 × 8475) / 3
LCM(8472,8475) = 71800200 / 3
LCM(8472,8475) = 23933400

Properties of LCM 8472 and 8475

(i) The LCM of 8475 and 8472 is associative

LCM of 8472 and 8475 = LCM of 8475 and 8472

Related Least Common Multiples of 8472

Related Least Common Multiples of 8475

Frequently Asked Questions on LCM of 8472 and 8475

1. What is the LCM of 8472 and 8475?

Answer: LCM of 8472 and 8475 is 23933400.

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 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 8472 and 8475?

Answer:

Least Common Multiple of 8472 and 8475 = 23933400

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 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 = 23933400 = 2 x 2 x 2 x 3 x 5 x 5 x 113 x 353

Step 4: Therefore, the least common multiple of 8472 and 8475 is 23933400.