Least Common Multiple of 4629 and 4633

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 4633 the smallest integer that is 21446157 that is divisible by both numbers.

Least Common Multiple (LCM) of 4629 and 4633 is 21446157.

LCM(4629,4633) = 21446157

LCM of 4629 and 4633

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

LCM of:
and

Least Common Multiple of 4629 and 4633

LCM of 4629 and 4633 is 21446157

Least common multiple can be found by multiplying the highest exponent prime factors of 4629 and 4633. First we will calculate the prime factors of 4629 and 4633.

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 4633


41 4633
113 113
1

Prime factors of 4633 are 41,113. Prime factorization of 4633 in exponential form is:

4633 = 411×1131

Now multiplying the highest exponent prime factors to calculate the LCM of 4629 and 4633.

LCM(4629,4633) = 31×411×1131×15431
LCM(4629,4633) = 21446157

Factors of 4629

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

1, 3, 1543, 4629

Factors of 4633

List of positive integer factors of 4633 that divides 4633 without a remainder.

1, 41, 113, 4633

Least Common Multiple of 4629 and 4633 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 4633, than apply into the LCM equation.

GCF(4629,4633) = 1
LCM(4629,4633) = ( 4629 × 4633) / 1
LCM(4629,4633) = 21446157 / 1
LCM(4629,4633) = 21446157

Properties of LCM 4629 and 4633

(i) The LCM of 4633 and 4629 is associative

LCM of 4629 and 4633 = LCM of 4633 and 4629

Frequently Asked Questions on LCM of 4629 and 4633

1. What is the LCM of 4629 and 4633?

Answer: LCM of 4629 and 4633 is 21446157.

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 4633?

Answer: Factors of 4633 are 1, 41, 113, 4633. There are 4 integers that are factors of 4633. The greatest factor of 4633 is 4633.

4. How to Find the LCM of 4629 and 4633?

Answer:

Least Common Multiple of 4629 and 4633 = 21446157

Step 1: Find the prime factorization of 4629

4629 = 3 x 1543

Step 2: Find the prime factorization of 4633

4633 = 41 x 113

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

LCM = 21446157 = 3 x 41 x 113 x 1543

Step 4: Therefore, the least common multiple of 4629 and 4633 is 21446157.