Least Common Multiple of 8609 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 8609 and 8616 the smallest integer that is 74175144 that is divisible by both numbers.

Least Common Multiple (LCM) of 8609 and 8616 is 74175144.

LCM(8609,8616) = 74175144

LCM of 8609 and 8616

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

LCM of:
and

Least Common Multiple of 8609 and 8616

LCM of 8609 and 8616 is 74175144

Least common multiple can be found by multiplying the highest exponent prime factors of 8609 and 8616. First we will calculate the prime factors of 8609 and 8616.

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 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 8609 and 8616.

LCM(8609,8616) = 23×31×3591×86091
LCM(8609,8616) = 74175144

Factors of 8609

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

1, 8609

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 8609 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 8609 and 8616, than apply into the LCM equation.

GCF(8609,8616) = 1
LCM(8609,8616) = ( 8609 × 8616) / 1
LCM(8609,8616) = 74175144 / 1
LCM(8609,8616) = 74175144

Properties of LCM 8609 and 8616

(i) The LCM of 8616 and 8609 is associative

LCM of 8609 and 8616 = LCM of 8616 and 8609

Related Least Common Multiples of 8609

Related Least Common Multiples of 8616

Frequently Asked Questions on LCM of 8609 and 8616

1. What is the LCM of 8609 and 8616?

Answer: LCM of 8609 and 8616 is 74175144.

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 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 8609 and 8616?

Answer:

Least Common Multiple of 8609 and 8616 = 74175144

Step 1: Find the prime factorization of 8609

8609 = 8609

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 = 74175144 = 2 x 2 x 2 x 3 x 359 x 8609

Step 4: Therefore, the least common multiple of 8609 and 8616 is 74175144.