Least Common Multiple of 8617 and 8622

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8617 and 8622 the smallest integer that is 74295774 that is divisible by both numbers.

Least Common Multiple (LCM) of 8617 and 8622 is 74295774.

LCM(8617,8622) = 74295774

LCM of 8617 and 8622

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

LCM of:
and

Least Common Multiple of 8617 and 8622

LCM of 8617 and 8622 is 74295774

Least common multiple can be found by multiplying the highest exponent prime factors of 8617 and 8622. First we will calculate the prime factors of 8617 and 8622.

Prime Factorization of 8617


7 8617
1231 1231
1

Prime factors of 8617 are 7,1231. Prime factorization of 8617 in exponential form is:

8617 = 71×12311

Prime Factorization of 8622


2 8622
3 4311
3 1437
479 479
1

Prime factors of 8622 are 2, 3,479. Prime factorization of 8622 in exponential form is:

8622 = 21×32×4791

Now multiplying the highest exponent prime factors to calculate the LCM of 8617 and 8622.

LCM(8617,8622) = 21×32×71×4791×12311
LCM(8617,8622) = 74295774

Factors of 8617

List of positive integer factors of 8617 that divides 8617 without a remainder.

1, 7, 1231, 8617

Factors of 8622

List of positive integer factors of 8622 that divides 8622 without a remainder.

1, 2, 3, 6, 9, 18, 479, 958, 1437, 2874, 4311, 8622

Least Common Multiple of 8617 and 8622 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8617 and 8622, than apply into the LCM equation.

GCF(8617,8622) = 1
LCM(8617,8622) = ( 8617 × 8622) / 1
LCM(8617,8622) = 74295774 / 1
LCM(8617,8622) = 74295774

Properties of LCM 8617 and 8622

(i) The LCM of 8622 and 8617 is associative

LCM of 8617 and 8622 = LCM of 8622 and 8617

Related Least Common Multiples of 8617

Related Least Common Multiples of 8622

Frequently Asked Questions on LCM of 8617 and 8622

1. What is the LCM of 8617 and 8622?

Answer: LCM of 8617 and 8622 is 74295774.

2. What are the Factors of 8617?

Answer: Factors of 8617 are 1, 7, 1231, 8617. There are 4 integers that are factors of 8617. The greatest factor of 8617 is 8617.

3. What are the Factors of 8622?

Answer: Factors of 8622 are 1, 2, 3, 6, 9, 18, 479, 958, 1437, 2874, 4311, 8622. There are 12 integers that are factors of 8622. The greatest factor of 8622 is 8622.

4. How to Find the LCM of 8617 and 8622?

Answer:

Least Common Multiple of 8617 and 8622 = 74295774

Step 1: Find the prime factorization of 8617

8617 = 7 x 1231

Step 2: Find the prime factorization of 8622

8622 = 2 x 3 x 3 x 479

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

LCM = 74295774 = 2 x 3 x 3 x 7 x 479 x 1231

Step 4: Therefore, the least common multiple of 8617 and 8622 is 74295774.