Least Common Multiple of 4611 and 4616

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 4616 the smallest integer that is 21284376 that is divisible by both numbers.

Least Common Multiple (LCM) of 4611 and 4616 is 21284376.

LCM(4611,4616) = 21284376

LCM of 4611 and 4616

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

LCM of:
and

Least Common Multiple of 4611 and 4616

LCM of 4611 and 4616 is 21284376

Least common multiple can be found by multiplying the highest exponent prime factors of 4611 and 4616. First we will calculate the prime factors of 4611 and 4616.

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 4616


2 4616
2 2308
2 1154
577 577
1

Prime factors of 4616 are 2,577. Prime factorization of 4616 in exponential form is:

4616 = 23×5771

Now multiplying the highest exponent prime factors to calculate the LCM of 4611 and 4616.

LCM(4611,4616) = 23×31×291×531×5771
LCM(4611,4616) = 21284376

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 4616

List of positive integer factors of 4616 that divides 4616 without a remainder.

1, 2, 4, 8, 577, 1154, 2308, 4616

Least Common Multiple of 4611 and 4616 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 4616, than apply into the LCM equation.

GCF(4611,4616) = 1
LCM(4611,4616) = ( 4611 × 4616) / 1
LCM(4611,4616) = 21284376 / 1
LCM(4611,4616) = 21284376

Properties of LCM 4611 and 4616

(i) The LCM of 4616 and 4611 is associative

LCM of 4611 and 4616 = LCM of 4616 and 4611

Related Least Common Multiples of 4611

Related Least Common Multiples of 4616

Frequently Asked Questions on LCM of 4611 and 4616

1. What is the LCM of 4611 and 4616?

Answer: LCM of 4611 and 4616 is 21284376.

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 4616?

Answer: Factors of 4616 are 1, 2, 4, 8, 577, 1154, 2308, 4616. There are 8 integers that are factors of 4616. The greatest factor of 4616 is 4616.

4. How to Find the LCM of 4611 and 4616?

Answer:

Least Common Multiple of 4611 and 4616 = 21284376

Step 1: Find the prime factorization of 4611

4611 = 3 x 29 x 53

Step 2: Find the prime factorization of 4616

4616 = 2 x 2 x 2 x 577

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

LCM = 21284376 = 2 x 2 x 2 x 3 x 29 x 53 x 577

Step 4: Therefore, the least common multiple of 4611 and 4616 is 21284376.