Least Common Multiple of 8617 and 8623

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 8623 the smallest integer that is 74304391 that is divisible by both numbers.

Least Common Multiple (LCM) of 8617 and 8623 is 74304391.

LCM(8617,8623) = 74304391

LCM of 8617 and 8623

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

LCM of:
and

Least Common Multiple of 8617 and 8623

LCM of 8617 and 8623 is 74304391

Least common multiple can be found by multiplying the highest exponent prime factors of 8617 and 8623. First we will calculate the prime factors of 8617 and 8623.

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 8623


8623 8623
1

Prime factors of 8623 are 8623. Prime factorization of 8623 in exponential form is:

8623 = 86231

Now multiplying the highest exponent prime factors to calculate the LCM of 8617 and 8623.

LCM(8617,8623) = 71×12311×86231
LCM(8617,8623) = 74304391

Factors of 8617

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

1, 7, 1231, 8617

Factors of 8623

List of positive integer factors of 8623 that divides 8623 without a remainder.

1, 8623

Least Common Multiple of 8617 and 8623 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 8623, than apply into the LCM equation.

GCF(8617,8623) = 1
LCM(8617,8623) = ( 8617 × 8623) / 1
LCM(8617,8623) = 74304391 / 1
LCM(8617,8623) = 74304391

Properties of LCM 8617 and 8623

(i) The LCM of 8623 and 8617 is associative

LCM of 8617 and 8623 = LCM of 8623 and 8617

Related Least Common Multiples of 8617

Related Least Common Multiples of 8623

Frequently Asked Questions on LCM of 8617 and 8623

1. What is the LCM of 8617 and 8623?

Answer: LCM of 8617 and 8623 is 74304391.

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 8623?

Answer: Factors of 8623 are 1, 8623. There are 2 integers that are factors of 8623. The greatest factor of 8623 is 8623.

4. How to Find the LCM of 8617 and 8623?

Answer:

Least Common Multiple of 8617 and 8623 = 74304391

Step 1: Find the prime factorization of 8617

8617 = 7 x 1231

Step 2: Find the prime factorization of 8623

8623 = 8623

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

LCM = 74304391 = 7 x 1231 x 8623

Step 4: Therefore, the least common multiple of 8617 and 8623 is 74304391.