Least Common Multiple of 8612 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 8612 and 8620 the smallest integer that is 18558860 that is divisible by both numbers.

Least Common Multiple (LCM) of 8612 and 8620 is 18558860.

LCM(8612,8620) = 18558860

LCM of 8612 and 8620

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

LCM of:
and

Least Common Multiple of 8612 and 8620

LCM of 8612 and 8620 is 18558860

Least common multiple can be found by multiplying the highest exponent prime factors of 8612 and 8620. First we will calculate the prime factors of 8612 and 8620.

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 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 8612 and 8620.

LCM(8612,8620) = 22×51×4311×21531
LCM(8612,8620) = 18558860

Factors of 8612

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

1, 2, 4, 2153, 4306, 8612

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 8612 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 8612 and 8620, than apply into the LCM equation.

GCF(8612,8620) = 4
LCM(8612,8620) = ( 8612 × 8620) / 4
LCM(8612,8620) = 74235440 / 4
LCM(8612,8620) = 18558860

Properties of LCM 8612 and 8620

(i) The LCM of 8620 and 8612 is associative

LCM of 8612 and 8620 = LCM of 8620 and 8612

Related Least Common Multiples of 8612

Related Least Common Multiples of 8620

Frequently Asked Questions on LCM of 8612 and 8620

1. What is the LCM of 8612 and 8620?

Answer: LCM of 8612 and 8620 is 18558860.

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 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 8612 and 8620?

Answer:

Least Common Multiple of 8612 and 8620 = 18558860

Step 1: Find the prime factorization of 8612

8612 = 2 x 2 x 2153

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 = 18558860 = 2 x 2 x 5 x 431 x 2153

Step 4: Therefore, the least common multiple of 8612 and 8620 is 18558860.