Least Common Multiple of 4635 and 4641

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4635 and 4641 the smallest integer that is 7170345 that is divisible by both numbers.

Least Common Multiple (LCM) of 4635 and 4641 is 7170345.

LCM(4635,4641) = 7170345

LCM of 4635 and 4641

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

LCM of:
and

Least Common Multiple of 4635 and 4641

LCM of 4635 and 4641 is 7170345

Least common multiple can be found by multiplying the highest exponent prime factors of 4635 and 4641. First we will calculate the prime factors of 4635 and 4641.

Prime Factorization of 4635


3 4635
3 1545
5 515
103 103
1

Prime factors of 4635 are 3, 5,103. Prime factorization of 4635 in exponential form is:

4635 = 32×51×1031

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4635 and 4641.

LCM(4635,4641) = 32×51×71×131×171×1031
LCM(4635,4641) = 7170345

Factors of 4635

List of positive integer factors of 4635 that divides 4635 without a remainder.

1, 3, 5, 9, 15, 45, 103, 309, 515, 927, 1545, 4635

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

Least Common Multiple of 4635 and 4641 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4635 and 4641, than apply into the LCM equation.

GCF(4635,4641) = 3
LCM(4635,4641) = ( 4635 × 4641) / 3
LCM(4635,4641) = 21511035 / 3
LCM(4635,4641) = 7170345

Properties of LCM 4635 and 4641

(i) The LCM of 4641 and 4635 is associative

LCM of 4635 and 4641 = LCM of 4641 and 4635

Related Least Common Multiples of 4635

Related Least Common Multiples of 4641

Frequently Asked Questions on LCM of 4635 and 4641

1. What is the LCM of 4635 and 4641?

Answer: LCM of 4635 and 4641 is 7170345.

2. What are the Factors of 4635?

Answer: Factors of 4635 are 1, 3, 5, 9, 15, 45, 103, 309, 515, 927, 1545, 4635. There are 12 integers that are factors of 4635. The greatest factor of 4635 is 4635.

3. 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.

4. How to Find the LCM of 4635 and 4641?

Answer:

Least Common Multiple of 4635 and 4641 = 7170345

Step 1: Find the prime factorization of 4635

4635 = 3 x 3 x 5 x 103

Step 2: Find the prime factorization of 4641

4641 = 3 x 7 x 13 x 17

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

LCM = 7170345 = 3 x 3 x 5 x 7 x 13 x 17 x 103

Step 4: Therefore, the least common multiple of 4635 and 4641 is 7170345.