Least Common Multiple of 8496 and 8502

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 8502 the smallest integer that is 12038832 that is divisible by both numbers.

Least Common Multiple (LCM) of 8496 and 8502 is 12038832.

LCM(8496,8502) = 12038832

LCM of 8496 and 8502

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

LCM of:
and

Least Common Multiple of 8496 and 8502

LCM of 8496 and 8502 is 12038832

Least common multiple can be found by multiplying the highest exponent prime factors of 8496 and 8502. First we will calculate the prime factors of 8496 and 8502.

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 8502


2 8502
3 4251
13 1417
109 109
1

Prime factors of 8502 are 2, 3, 13,109. Prime factorization of 8502 in exponential form is:

8502 = 21×31×131×1091

Now multiplying the highest exponent prime factors to calculate the LCM of 8496 and 8502.

LCM(8496,8502) = 24×32×131×591×1091
LCM(8496,8502) = 12038832

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 8502

List of positive integer factors of 8502 that divides 8502 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 109, 218, 327, 654, 1417, 2834, 4251, 8502

Least Common Multiple of 8496 and 8502 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 8502, than apply into the LCM equation.

GCF(8496,8502) = 6
LCM(8496,8502) = ( 8496 × 8502) / 6
LCM(8496,8502) = 72232992 / 6
LCM(8496,8502) = 12038832

Properties of LCM 8496 and 8502

(i) The LCM of 8502 and 8496 is associative

LCM of 8496 and 8502 = LCM of 8502 and 8496

Related Least Common Multiples of 8496

Related Least Common Multiples of 8502

Frequently Asked Questions on LCM of 8496 and 8502

1. What is the LCM of 8496 and 8502?

Answer: LCM of 8496 and 8502 is 12038832.

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 8502?

Answer: Factors of 8502 are 1, 2, 3, 6, 13, 26, 39, 78, 109, 218, 327, 654, 1417, 2834, 4251, 8502. There are 16 integers that are factors of 8502. The greatest factor of 8502 is 8502.

4. How to Find the LCM of 8496 and 8502?

Answer:

Least Common Multiple of 8496 and 8502 = 12038832

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 8502

8502 = 2 x 3 x 13 x 109

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

LCM = 12038832 = 2 x 2 x 2 x 2 x 3 x 3 x 13 x 59 x 109

Step 4: Therefore, the least common multiple of 8496 and 8502 is 12038832.