Least Common Multiple of 4611 and 4617

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4611 and 4617 the smallest integer that is 7096329 that is divisible by both numbers.

Least Common Multiple (LCM) of 4611 and 4617 is 7096329.

LCM(4611,4617) = 7096329

LCM of 4611 and 4617

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

LCM of:
and

Least Common Multiple of 4611 and 4617

LCM of 4611 and 4617 is 7096329

Least common multiple can be found by multiplying the highest exponent prime factors of 4611 and 4617. First we will calculate the prime factors of 4611 and 4617.

Prime Factorization of 4611


3 4611
29 1537
53 53
1

Prime factors of 4611 are 3, 29,53. Prime factorization of 4611 in exponential form is:

4611 = 31×291×531

Prime Factorization of 4617


3 4617
3 1539
3 513
3 171
3 57
19 19
1

Prime factors of 4617 are 3,19. Prime factorization of 4617 in exponential form is:

4617 = 35×191

Now multiplying the highest exponent prime factors to calculate the LCM of 4611 and 4617.

LCM(4611,4617) = 35×191×291×531
LCM(4611,4617) = 7096329

Factors of 4611

List of positive integer factors of 4611 that divides 4611 without a remainder.

1, 3, 29, 53, 87, 159, 1537, 4611

Factors of 4617

List of positive integer factors of 4617 that divides 4617 without a remainder.

1, 3, 9, 19, 27, 57, 81, 171, 243, 513, 1539, 4617

Least Common Multiple of 4611 and 4617 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4611 and 4617, than apply into the LCM equation.

GCF(4611,4617) = 3
LCM(4611,4617) = ( 4611 × 4617) / 3
LCM(4611,4617) = 21288987 / 3
LCM(4611,4617) = 7096329

Properties of LCM 4611 and 4617

(i) The LCM of 4617 and 4611 is associative

LCM of 4611 and 4617 = LCM of 4617 and 4611

Related Least Common Multiples of 4611

Related Least Common Multiples of 4617

Frequently Asked Questions on LCM of 4611 and 4617

1. What is the LCM of 4611 and 4617?

Answer: LCM of 4611 and 4617 is 7096329.

2. What are the Factors of 4611?

Answer: Factors of 4611 are 1, 3, 29, 53, 87, 159, 1537, 4611. There are 8 integers that are factors of 4611. The greatest factor of 4611 is 4611.

3. What are the Factors of 4617?

Answer: Factors of 4617 are 1, 3, 9, 19, 27, 57, 81, 171, 243, 513, 1539, 4617. There are 12 integers that are factors of 4617. The greatest factor of 4617 is 4617.

4. How to Find the LCM of 4611 and 4617?

Answer:

Least Common Multiple of 4611 and 4617 = 7096329

Step 1: Find the prime factorization of 4611

4611 = 3 x 29 x 53

Step 2: Find the prime factorization of 4617

4617 = 3 x 3 x 3 x 3 x 3 x 19

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

LCM = 7096329 = 3 x 3 x 3 x 3 x 3 x 19 x 29 x 53

Step 4: Therefore, the least common multiple of 4611 and 4617 is 7096329.