Least Common Multiple of 4629 and 4634

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 4634 the smallest integer that is 21450786 that is divisible by both numbers.

Least Common Multiple (LCM) of 4629 and 4634 is 21450786.

LCM(4629,4634) = 21450786

LCM of 4629 and 4634

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

LCM of:
and

Least Common Multiple of 4629 and 4634

LCM of 4629 and 4634 is 21450786

Least common multiple can be found by multiplying the highest exponent prime factors of 4629 and 4634. First we will calculate the prime factors of 4629 and 4634.

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 4634


2 4634
7 2317
331 331
1

Prime factors of 4634 are 2, 7,331. Prime factorization of 4634 in exponential form is:

4634 = 21×71×3311

Now multiplying the highest exponent prime factors to calculate the LCM of 4629 and 4634.

LCM(4629,4634) = 21×31×71×3311×15431
LCM(4629,4634) = 21450786

Factors of 4629

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

1, 3, 1543, 4629

Factors of 4634

List of positive integer factors of 4634 that divides 4634 without a remainder.

1, 2, 7, 14, 331, 662, 2317, 4634

Least Common Multiple of 4629 and 4634 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 4634, than apply into the LCM equation.

GCF(4629,4634) = 1
LCM(4629,4634) = ( 4629 × 4634) / 1
LCM(4629,4634) = 21450786 / 1
LCM(4629,4634) = 21450786

Properties of LCM 4629 and 4634

(i) The LCM of 4634 and 4629 is associative

LCM of 4629 and 4634 = LCM of 4634 and 4629

Related Least Common Multiples of 4629

Related Least Common Multiples of 4634

Frequently Asked Questions on LCM of 4629 and 4634

1. What is the LCM of 4629 and 4634?

Answer: LCM of 4629 and 4634 is 21450786.

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 4634?

Answer: Factors of 4634 are 1, 2, 7, 14, 331, 662, 2317, 4634. There are 8 integers that are factors of 4634. The greatest factor of 4634 is 4634.

4. How to Find the LCM of 4629 and 4634?

Answer:

Least Common Multiple of 4629 and 4634 = 21450786

Step 1: Find the prime factorization of 4629

4629 = 3 x 1543

Step 2: Find the prime factorization of 4634

4634 = 2 x 7 x 331

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

LCM = 21450786 = 2 x 3 x 7 x 331 x 1543

Step 4: Therefore, the least common multiple of 4629 and 4634 is 21450786.