Least Common Multiple of 8496 and 8504

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8496 and 8504 the smallest integer that is 9031248 that is divisible by both numbers.

Least Common Multiple (LCM) of 8496 and 8504 is 9031248.

LCM(8496,8504) = 9031248

LCM of 8496 and 8504

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

LCM of:
and

Least Common Multiple of 8496 and 8504

LCM of 8496 and 8504 is 9031248

Least common multiple can be found by multiplying the highest exponent prime factors of 8496 and 8504. First we will calculate the prime factors of 8496 and 8504.

Prime Factorization of 8496


2 8496
2 4248
2 2124
2 1062
3 531
3 177
59 59
1

Prime factors of 8496 are 2, 3,59. Prime factorization of 8496 in exponential form is:

8496 = 24×32×591

Prime Factorization of 8504


2 8504
2 4252
2 2126
1063 1063
1

Prime factors of 8504 are 2,1063. Prime factorization of 8504 in exponential form is:

8504 = 23×10631

Now multiplying the highest exponent prime factors to calculate the LCM of 8496 and 8504.

LCM(8496,8504) = 24×32×591×10631
LCM(8496,8504) = 9031248

Factors of 8496

List of positive integer factors of 8496 that divides 8496 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 59, 72, 118, 144, 177, 236, 354, 472, 531, 708, 944, 1062, 1416, 2124, 2832, 4248, 8496

Factors of 8504

List of positive integer factors of 8504 that divides 8504 without a remainder.

1, 2, 4, 8, 1063, 2126, 4252, 8504

Least Common Multiple of 8496 and 8504 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8496 and 8504, than apply into the LCM equation.

GCF(8496,8504) = 8
LCM(8496,8504) = ( 8496 × 8504) / 8
LCM(8496,8504) = 72249984 / 8
LCM(8496,8504) = 9031248

Properties of LCM 8496 and 8504

(i) The LCM of 8504 and 8496 is associative

LCM of 8496 and 8504 = LCM of 8504 and 8496

Related Least Common Multiples of 8496

Related Least Common Multiples of 8504

Frequently Asked Questions on LCM of 8496 and 8504

1. What is the LCM of 8496 and 8504?

Answer: LCM of 8496 and 8504 is 9031248.

2. What are the Factors of 8496?

Answer: Factors of 8496 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 59, 72, 118, 144, 177, 236, 354, 472, 531, 708, 944, 1062, 1416, 2124, 2832, 4248, 8496. There are 30 integers that are factors of 8496. The greatest factor of 8496 is 8496.

3. What are the Factors of 8504?

Answer: Factors of 8504 are 1, 2, 4, 8, 1063, 2126, 4252, 8504. There are 8 integers that are factors of 8504. The greatest factor of 8504 is 8504.

4. How to Find the LCM of 8496 and 8504?

Answer:

Least Common Multiple of 8496 and 8504 = 9031248

Step 1: Find the prime factorization of 8496

8496 = 2 x 2 x 2 x 2 x 3 x 3 x 59

Step 2: Find the prime factorization of 8504

8504 = 2 x 2 x 2 x 1063

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

LCM = 9031248 = 2 x 2 x 2 x 2 x 3 x 3 x 59 x 1063

Step 4: Therefore, the least common multiple of 8496 and 8504 is 9031248.