Least Common Multiple of 8609 and 8617

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8609 and 8617 the smallest integer that is 74183753 that is divisible by both numbers.

Least Common Multiple (LCM) of 8609 and 8617 is 74183753.

LCM(8609,8617) = 74183753

LCM of 8609 and 8617

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

LCM of:
and

Least Common Multiple of 8609 and 8617

LCM of 8609 and 8617 is 74183753

Least common multiple can be found by multiplying the highest exponent prime factors of 8609 and 8617. First we will calculate the prime factors of 8609 and 8617.

Prime Factorization of 8609


8609 8609
1

Prime factors of 8609 are 8609. Prime factorization of 8609 in exponential form is:

8609 = 86091

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8609 and 8617.

LCM(8609,8617) = 71×12311×86091
LCM(8609,8617) = 74183753

Factors of 8609

List of positive integer factors of 8609 that divides 8609 without a remainder.

1, 8609

Factors of 8617

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

1, 7, 1231, 8617

Least Common Multiple of 8609 and 8617 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8609 and 8617, than apply into the LCM equation.

GCF(8609,8617) = 1
LCM(8609,8617) = ( 8609 × 8617) / 1
LCM(8609,8617) = 74183753 / 1
LCM(8609,8617) = 74183753

Properties of LCM 8609 and 8617

(i) The LCM of 8617 and 8609 is associative

LCM of 8609 and 8617 = LCM of 8617 and 8609

Related Least Common Multiples of 8609

Related Least Common Multiples of 8617

Frequently Asked Questions on LCM of 8609 and 8617

1. What is the LCM of 8609 and 8617?

Answer: LCM of 8609 and 8617 is 74183753.

2. What are the Factors of 8609?

Answer: Factors of 8609 are 1, 8609. There are 2 integers that are factors of 8609. The greatest factor of 8609 is 8609.

3. 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.

4. How to Find the LCM of 8609 and 8617?

Answer:

Least Common Multiple of 8609 and 8617 = 74183753

Step 1: Find the prime factorization of 8609

8609 = 8609

Step 2: Find the prime factorization of 8617

8617 = 7 x 1231

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

LCM = 74183753 = 7 x 1231 x 8609

Step 4: Therefore, the least common multiple of 8609 and 8617 is 74183753.