Least Common Multiple of 8616 and 8620

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8616 and 8620 the smallest integer that is 18567480 that is divisible by both numbers.

Least Common Multiple (LCM) of 8616 and 8620 is 18567480.

LCM(8616,8620) = 18567480

LCM of 8616 and 8620

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

LCM of:
and

Least Common Multiple of 8616 and 8620

LCM of 8616 and 8620 is 18567480

Least common multiple can be found by multiplying the highest exponent prime factors of 8616 and 8620. First we will calculate the prime factors of 8616 and 8620.

Prime Factorization of 8616


2 8616
2 4308
2 2154
3 1077
359 359
1

Prime factors of 8616 are 2, 3,359. Prime factorization of 8616 in exponential form is:

8616 = 23×31×3591

Prime Factorization of 8620


2 8620
2 4310
5 2155
431 431
1

Prime factors of 8620 are 2, 5,431. Prime factorization of 8620 in exponential form is:

8620 = 22×51×4311

Now multiplying the highest exponent prime factors to calculate the LCM of 8616 and 8620.

LCM(8616,8620) = 23×31×51×3591×4311
LCM(8616,8620) = 18567480

Factors of 8616

List of positive integer factors of 8616 that divides 8616 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 359, 718, 1077, 1436, 2154, 2872, 4308, 8616

Factors of 8620

List of positive integer factors of 8620 that divides 8620 without a remainder.

1, 2, 4, 5, 10, 20, 431, 862, 1724, 2155, 4310, 8620

Least Common Multiple of 8616 and 8620 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8616 and 8620, than apply into the LCM equation.

GCF(8616,8620) = 4
LCM(8616,8620) = ( 8616 × 8620) / 4
LCM(8616,8620) = 74269920 / 4
LCM(8616,8620) = 18567480

Properties of LCM 8616 and 8620

(i) The LCM of 8620 and 8616 is associative

LCM of 8616 and 8620 = LCM of 8620 and 8616

Related Least Common Multiples of 8616

Related Least Common Multiples of 8620

Frequently Asked Questions on LCM of 8616 and 8620

1. What is the LCM of 8616 and 8620?

Answer: LCM of 8616 and 8620 is 18567480.

2. What are the Factors of 8616?

Answer: Factors of 8616 are 1, 2, 3, 4, 6, 8, 12, 24, 359, 718, 1077, 1436, 2154, 2872, 4308, 8616. There are 16 integers that are factors of 8616. The greatest factor of 8616 is 8616.

3. What are the Factors of 8620?

Answer: Factors of 8620 are 1, 2, 4, 5, 10, 20, 431, 862, 1724, 2155, 4310, 8620. There are 12 integers that are factors of 8620. The greatest factor of 8620 is 8620.

4. How to Find the LCM of 8616 and 8620?

Answer:

Least Common Multiple of 8616 and 8620 = 18567480

Step 1: Find the prime factorization of 8616

8616 = 2 x 2 x 2 x 3 x 359

Step 2: Find the prime factorization of 8620

8620 = 2 x 2 x 5 x 431

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

LCM = 18567480 = 2 x 2 x 2 x 3 x 5 x 359 x 431

Step 4: Therefore, the least common multiple of 8616 and 8620 is 18567480.