Least Common Multiple of 4629 and 4636

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 4636 the smallest integer that is 21460044 that is divisible by both numbers.

Least Common Multiple (LCM) of 4629 and 4636 is 21460044.

LCM(4629,4636) = 21460044

LCM of 4629 and 4636

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

LCM of:
and

Least Common Multiple of 4629 and 4636

LCM of 4629 and 4636 is 21460044

Least common multiple can be found by multiplying the highest exponent prime factors of 4629 and 4636. First we will calculate the prime factors of 4629 and 4636.

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 4636


2 4636
2 2318
19 1159
61 61
1

Prime factors of 4636 are 2, 19,61. Prime factorization of 4636 in exponential form is:

4636 = 22×191×611

Now multiplying the highest exponent prime factors to calculate the LCM of 4629 and 4636.

LCM(4629,4636) = 22×31×191×611×15431
LCM(4629,4636) = 21460044

Factors of 4629

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

1, 3, 1543, 4629

Factors of 4636

List of positive integer factors of 4636 that divides 4636 without a remainder.

1, 2, 4, 19, 38, 61, 76, 122, 244, 1159, 2318, 4636

Least Common Multiple of 4629 and 4636 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 4636, than apply into the LCM equation.

GCF(4629,4636) = 1
LCM(4629,4636) = ( 4629 × 4636) / 1
LCM(4629,4636) = 21460044 / 1
LCM(4629,4636) = 21460044

Properties of LCM 4629 and 4636

(i) The LCM of 4636 and 4629 is associative

LCM of 4629 and 4636 = LCM of 4636 and 4629

Related Least Common Multiples of 4629

Related Least Common Multiples of 4636

Frequently Asked Questions on LCM of 4629 and 4636

1. What is the LCM of 4629 and 4636?

Answer: LCM of 4629 and 4636 is 21460044.

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 4636?

Answer: Factors of 4636 are 1, 2, 4, 19, 38, 61, 76, 122, 244, 1159, 2318, 4636. There are 12 integers that are factors of 4636. The greatest factor of 4636 is 4636.

4. How to Find the LCM of 4629 and 4636?

Answer:

Least Common Multiple of 4629 and 4636 = 21460044

Step 1: Find the prime factorization of 4629

4629 = 3 x 1543

Step 2: Find the prime factorization of 4636

4636 = 2 x 2 x 19 x 61

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

LCM = 21460044 = 2 x 2 x 3 x 19 x 61 x 1543

Step 4: Therefore, the least common multiple of 4629 and 4636 is 21460044.