Least Common Multiple of 4629 and 4630

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4629 and 4630 the smallest integer that is 21432270 that is divisible by both numbers.

Least Common Multiple (LCM) of 4629 and 4630 is 21432270.

LCM(4629,4630) = 21432270

LCM of 4629 and 4630

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

LCM of:
and

Least Common Multiple of 4629 and 4630

LCM of 4629 and 4630 is 21432270

Least common multiple can be found by multiplying the highest exponent prime factors of 4629 and 4630. First we will calculate the prime factors of 4629 and 4630.

Prime Factorization of 4629


3 4629
1543 1543
1

Prime factors of 4629 are 3,1543. Prime factorization of 4629 in exponential form is:

4629 = 31×15431

Prime Factorization of 4630


2 4630
5 2315
463 463
1

Prime factors of 4630 are 2, 5,463. Prime factorization of 4630 in exponential form is:

4630 = 21×51×4631

Now multiplying the highest exponent prime factors to calculate the LCM of 4629 and 4630.

LCM(4629,4630) = 21×31×51×4631×15431
LCM(4629,4630) = 21432270

Factors of 4629

List of positive integer factors of 4629 that divides 4629 without a remainder.

1, 3, 1543, 4629

Factors of 4630

List of positive integer factors of 4630 that divides 4630 without a remainder.

1, 2, 5, 10, 463, 926, 2315, 4630

Least Common Multiple of 4629 and 4630 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4629 and 4630, than apply into the LCM equation.

GCF(4629,4630) = 1
LCM(4629,4630) = ( 4629 × 4630) / 1
LCM(4629,4630) = 21432270 / 1
LCM(4629,4630) = 21432270

Properties of LCM 4629 and 4630

(i) The LCM of 4630 and 4629 is associative

LCM of 4629 and 4630 = LCM of 4630 and 4629

Related Least Common Multiples of 4629

Related Least Common Multiples of 4630

Frequently Asked Questions on LCM of 4629 and 4630

1. What is the LCM of 4629 and 4630?

Answer: LCM of 4629 and 4630 is 21432270.

2. What are the Factors of 4629?

Answer: Factors of 4629 are 1, 3, 1543, 4629. There are 4 integers that are factors of 4629. The greatest factor of 4629 is 4629.

3. What are the Factors of 4630?

Answer: Factors of 4630 are 1, 2, 5, 10, 463, 926, 2315, 4630. There are 8 integers that are factors of 4630. The greatest factor of 4630 is 4630.

4. How to Find the LCM of 4629 and 4630?

Answer:

Least Common Multiple of 4629 and 4630 = 21432270

Step 1: Find the prime factorization of 4629

4629 = 3 x 1543

Step 2: Find the prime factorization of 4630

4630 = 2 x 5 x 463

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

LCM = 21432270 = 2 x 3 x 5 x 463 x 1543

Step 4: Therefore, the least common multiple of 4629 and 4630 is 21432270.