Least Common Multiple of 8494 and 8496

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8494 and 8496 the smallest integer that is 36082512 that is divisible by both numbers.

Least Common Multiple (LCM) of 8494 and 8496 is 36082512.

LCM(8494,8496) = 36082512

LCM of 8494 and 8496

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

LCM of:
and

Least Common Multiple of 8494 and 8496

LCM of 8494 and 8496 is 36082512

Least common multiple can be found by multiplying the highest exponent prime factors of 8494 and 8496. First we will calculate the prime factors of 8494 and 8496.

Prime Factorization of 8494


2 8494
31 4247
137 137
1

Prime factors of 8494 are 2, 31,137. Prime factorization of 8494 in exponential form is:

8494 = 21×311×1371

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8494 and 8496.

LCM(8494,8496) = 24×32×311×591×1371
LCM(8494,8496) = 36082512

Factors of 8494

List of positive integer factors of 8494 that divides 8494 without a remainder.

1, 2, 31, 62, 137, 274, 4247, 8494

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

Least Common Multiple of 8494 and 8496 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8494 and 8496, than apply into the LCM equation.

GCF(8494,8496) = 2
LCM(8494,8496) = ( 8494 × 8496) / 2
LCM(8494,8496) = 72165024 / 2
LCM(8494,8496) = 36082512

Properties of LCM 8494 and 8496

(i) The LCM of 8496 and 8494 is associative

LCM of 8494 and 8496 = LCM of 8496 and 8494

Related Least Common Multiples of 8494

Related Least Common Multiples of 8496

Frequently Asked Questions on LCM of 8494 and 8496

1. What is the LCM of 8494 and 8496?

Answer: LCM of 8494 and 8496 is 36082512.

2. What are the Factors of 8494?

Answer: Factors of 8494 are 1, 2, 31, 62, 137, 274, 4247, 8494. There are 8 integers that are factors of 8494. The greatest factor of 8494 is 8494.

3. 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.

4. How to Find the LCM of 8494 and 8496?

Answer:

Least Common Multiple of 8494 and 8496 = 36082512

Step 1: Find the prime factorization of 8494

8494 = 2 x 31 x 137

Step 2: Find the prime factorization of 8496

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

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

LCM = 36082512 = 2 x 2 x 2 x 2 x 3 x 3 x 31 x 59 x 137

Step 4: Therefore, the least common multiple of 8494 and 8496 is 36082512.