Least Common Multiple of 4641 and 4649

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4641 and 4649 the smallest integer that is 21576009 that is divisible by both numbers.

Least Common Multiple (LCM) of 4641 and 4649 is 21576009.

LCM(4641,4649) = 21576009

LCM of 4641 and 4649

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

LCM of:
and

Least Common Multiple of 4641 and 4649

LCM of 4641 and 4649 is 21576009

Least common multiple can be found by multiplying the highest exponent prime factors of 4641 and 4649. First we will calculate the prime factors of 4641 and 4649.

Prime Factorization of 4641


3 4641
7 1547
13 221
17 17
1

Prime factors of 4641 are 3, 7, 13,17. Prime factorization of 4641 in exponential form is:

4641 = 31×71×131×171

Prime Factorization of 4649


4649 4649
1

Prime factors of 4649 are 4649. Prime factorization of 4649 in exponential form is:

4649 = 46491

Now multiplying the highest exponent prime factors to calculate the LCM of 4641 and 4649.

LCM(4641,4649) = 31×71×131×171×46491
LCM(4641,4649) = 21576009

Factors of 4641

List of positive integer factors of 4641 that divides 4641 without a remainder.

1, 3, 7, 13, 17, 21, 39, 51, 91, 119, 221, 273, 357, 663, 1547, 4641

Factors of 4649

List of positive integer factors of 4649 that divides 4649 without a remainder.

1, 4649

Least Common Multiple of 4641 and 4649 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4641 and 4649, than apply into the LCM equation.

GCF(4641,4649) = 1
LCM(4641,4649) = ( 4641 × 4649) / 1
LCM(4641,4649) = 21576009 / 1
LCM(4641,4649) = 21576009

Properties of LCM 4641 and 4649

(i) The LCM of 4649 and 4641 is associative

LCM of 4641 and 4649 = LCM of 4649 and 4641

Related Least Common Multiples of 4641

Related Least Common Multiples of 4649

Frequently Asked Questions on LCM of 4641 and 4649

1. What is the LCM of 4641 and 4649?

Answer: LCM of 4641 and 4649 is 21576009.

2. What are the Factors of 4641?

Answer: Factors of 4641 are 1, 3, 7, 13, 17, 21, 39, 51, 91, 119, 221, 273, 357, 663, 1547, 4641. There are 16 integers that are factors of 4641. The greatest factor of 4641 is 4641.

3. What are the Factors of 4649?

Answer: Factors of 4649 are 1, 4649. There are 2 integers that are factors of 4649. The greatest factor of 4649 is 4649.

4. How to Find the LCM of 4641 and 4649?

Answer:

Least Common Multiple of 4641 and 4649 = 21576009

Step 1: Find the prime factorization of 4641

4641 = 3 x 7 x 13 x 17

Step 2: Find the prime factorization of 4649

4649 = 4649

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

LCM = 21576009 = 3 x 7 x 13 x 17 x 4649

Step 4: Therefore, the least common multiple of 4641 and 4649 is 21576009.