Least Common Multiple of 4629 and 4635

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 4635 the smallest integer that is 7151805 that is divisible by both numbers.

Least Common Multiple (LCM) of 4629 and 4635 is 7151805.

LCM(4629,4635) = 7151805

LCM of 4629 and 4635

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

LCM of:
and

Least Common Multiple of 4629 and 4635

LCM of 4629 and 4635 is 7151805

Least common multiple can be found by multiplying the highest exponent prime factors of 4629 and 4635. First we will calculate the prime factors of 4629 and 4635.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 4629 and 4635.

LCM(4629,4635) = 32×51×1031×15431
LCM(4629,4635) = 7151805

Factors of 4629

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

1, 3, 1543, 4629

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

Least Common Multiple of 4629 and 4635 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 4635, than apply into the LCM equation.

GCF(4629,4635) = 3
LCM(4629,4635) = ( 4629 × 4635) / 3
LCM(4629,4635) = 21455415 / 3
LCM(4629,4635) = 7151805

Properties of LCM 4629 and 4635

(i) The LCM of 4635 and 4629 is associative

LCM of 4629 and 4635 = LCM of 4635 and 4629

Related Least Common Multiples of 4629

Related Least Common Multiples of 4635

Frequently Asked Questions on LCM of 4629 and 4635

1. What is the LCM of 4629 and 4635?

Answer: LCM of 4629 and 4635 is 7151805.

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 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.

4. How to Find the LCM of 4629 and 4635?

Answer:

Least Common Multiple of 4629 and 4635 = 7151805

Step 1: Find the prime factorization of 4629

4629 = 3 x 1543

Step 2: Find the prime factorization of 4635

4635 = 3 x 3 x 5 x 103

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

LCM = 7151805 = 3 x 3 x 5 x 103 x 1543

Step 4: Therefore, the least common multiple of 4629 and 4635 is 7151805.