Least Common Multiple of 8612 and 8616

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8612 and 8616 the smallest integer that is 18550248 that is divisible by both numbers.

Least Common Multiple (LCM) of 8612 and 8616 is 18550248.

LCM(8612,8616) = 18550248

LCM of 8612 and 8616

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

LCM of:
and

Least Common Multiple of 8612 and 8616

LCM of 8612 and 8616 is 18550248

Least common multiple can be found by multiplying the highest exponent prime factors of 8612 and 8616. First we will calculate the prime factors of 8612 and 8616.

Prime Factorization of 8612


2 8612
2 4306
2153 2153
1

Prime factors of 8612 are 2,2153. Prime factorization of 8612 in exponential form is:

8612 = 22×21531

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8612 and 8616.

LCM(8612,8616) = 23×31×3591×21531
LCM(8612,8616) = 18550248

Factors of 8612

List of positive integer factors of 8612 that divides 8612 without a remainder.

1, 2, 4, 2153, 4306, 8612

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

Least Common Multiple of 8612 and 8616 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8612 and 8616, than apply into the LCM equation.

GCF(8612,8616) = 4
LCM(8612,8616) = ( 8612 × 8616) / 4
LCM(8612,8616) = 74200992 / 4
LCM(8612,8616) = 18550248

Properties of LCM 8612 and 8616

(i) The LCM of 8616 and 8612 is associative

LCM of 8612 and 8616 = LCM of 8616 and 8612

Related Least Common Multiples of 8612

Related Least Common Multiples of 8616

Frequently Asked Questions on LCM of 8612 and 8616

1. What is the LCM of 8612 and 8616?

Answer: LCM of 8612 and 8616 is 18550248.

2. What are the Factors of 8612?

Answer: Factors of 8612 are 1, 2, 4, 2153, 4306, 8612. There are 6 integers that are factors of 8612. The greatest factor of 8612 is 8612.

3. 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.

4. How to Find the LCM of 8612 and 8616?

Answer:

Least Common Multiple of 8612 and 8616 = 18550248

Step 1: Find the prime factorization of 8612

8612 = 2 x 2 x 2153

Step 2: Find the prime factorization of 8616

8616 = 2 x 2 x 2 x 3 x 359

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

LCM = 18550248 = 2 x 2 x 2 x 3 x 359 x 2153

Step 4: Therefore, the least common multiple of 8612 and 8616 is 18550248.