Least Common Multiple of 8468 and 8472

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8468 and 8472 the smallest integer that is 17935224 that is divisible by both numbers.

Least Common Multiple (LCM) of 8468 and 8472 is 17935224.

LCM(8468,8472) = 17935224

LCM of 8468 and 8472

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

LCM of:
and

Least Common Multiple of 8468 and 8472

LCM of 8468 and 8472 is 17935224

Least common multiple can be found by multiplying the highest exponent prime factors of 8468 and 8472. First we will calculate the prime factors of 8468 and 8472.

Prime Factorization of 8468


2 8468
2 4234
29 2117
73 73
1

Prime factors of 8468 are 2, 29,73. Prime factorization of 8468 in exponential form is:

8468 = 22×291×731

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8468 and 8472.

LCM(8468,8472) = 23×31×291×731×3531
LCM(8468,8472) = 17935224

Factors of 8468

List of positive integer factors of 8468 that divides 8468 without a remainder.

1, 2, 4, 29, 58, 73, 116, 146, 292, 2117, 4234, 8468

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

Least Common Multiple of 8468 and 8472 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8468 and 8472, than apply into the LCM equation.

GCF(8468,8472) = 4
LCM(8468,8472) = ( 8468 × 8472) / 4
LCM(8468,8472) = 71740896 / 4
LCM(8468,8472) = 17935224

Properties of LCM 8468 and 8472

(i) The LCM of 8472 and 8468 is associative

LCM of 8468 and 8472 = LCM of 8472 and 8468

Related Least Common Multiples of 8468

Related Least Common Multiples of 8472

Frequently Asked Questions on LCM of 8468 and 8472

1. What is the LCM of 8468 and 8472?

Answer: LCM of 8468 and 8472 is 17935224.

2. What are the Factors of 8468?

Answer: Factors of 8468 are 1, 2, 4, 29, 58, 73, 116, 146, 292, 2117, 4234, 8468. There are 12 integers that are factors of 8468. The greatest factor of 8468 is 8468.

3. 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.

4. How to Find the LCM of 8468 and 8472?

Answer:

Least Common Multiple of 8468 and 8472 = 17935224

Step 1: Find the prime factorization of 8468

8468 = 2 x 2 x 29 x 73

Step 2: Find the prime factorization of 8472

8472 = 2 x 2 x 2 x 3 x 353

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

LCM = 17935224 = 2 x 2 x 2 x 3 x 29 x 73 x 353

Step 4: Therefore, the least common multiple of 8468 and 8472 is 17935224.