Least Common Multiple of 4635 and 4643

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 4643 the smallest integer that is 21520305 that is divisible by both numbers.

Least Common Multiple (LCM) of 4635 and 4643 is 21520305.

LCM(4635,4643) = 21520305

LCM of 4635 and 4643

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

LCM of:
and

Least Common Multiple of 4635 and 4643

LCM of 4635 and 4643 is 21520305

Least common multiple can be found by multiplying the highest exponent prime factors of 4635 and 4643. First we will calculate the prime factors of 4635 and 4643.

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 4643


4643 4643
1

Prime factors of 4643 are 4643. Prime factorization of 4643 in exponential form is:

4643 = 46431

Now multiplying the highest exponent prime factors to calculate the LCM of 4635 and 4643.

LCM(4635,4643) = 32×51×1031×46431
LCM(4635,4643) = 21520305

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 4643

List of positive integer factors of 4643 that divides 4643 without a remainder.

1, 4643

Least Common Multiple of 4635 and 4643 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 4643, than apply into the LCM equation.

GCF(4635,4643) = 1
LCM(4635,4643) = ( 4635 × 4643) / 1
LCM(4635,4643) = 21520305 / 1
LCM(4635,4643) = 21520305

Properties of LCM 4635 and 4643

(i) The LCM of 4643 and 4635 is associative

LCM of 4635 and 4643 = LCM of 4643 and 4635

Related Least Common Multiples of 4635

Related Least Common Multiples of 4643

Frequently Asked Questions on LCM of 4635 and 4643

1. What is the LCM of 4635 and 4643?

Answer: LCM of 4635 and 4643 is 21520305.

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 4643?

Answer: Factors of 4643 are 1, 4643. There are 2 integers that are factors of 4643. The greatest factor of 4643 is 4643.

4. How to Find the LCM of 4635 and 4643?

Answer:

Least Common Multiple of 4635 and 4643 = 21520305

Step 1: Find the prime factorization of 4635

4635 = 3 x 3 x 5 x 103

Step 2: Find the prime factorization of 4643

4643 = 4643

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

LCM = 21520305 = 3 x 3 x 5 x 103 x 4643

Step 4: Therefore, the least common multiple of 4635 and 4643 is 21520305.