Least Common Multiple of 4629 and 4632

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 4632 the smallest integer that is 7147176 that is divisible by both numbers.

Least Common Multiple (LCM) of 4629 and 4632 is 7147176.

LCM(4629,4632) = 7147176

LCM of 4629 and 4632

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

LCM of:
and

Least Common Multiple of 4629 and 4632

LCM of 4629 and 4632 is 7147176

Least common multiple can be found by multiplying the highest exponent prime factors of 4629 and 4632. First we will calculate the prime factors of 4629 and 4632.

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 4632


2 4632
2 2316
2 1158
3 579
193 193
1

Prime factors of 4632 are 2, 3,193. Prime factorization of 4632 in exponential form is:

4632 = 23×31×1931

Now multiplying the highest exponent prime factors to calculate the LCM of 4629 and 4632.

LCM(4629,4632) = 23×31×1931×15431
LCM(4629,4632) = 7147176

Factors of 4629

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

1, 3, 1543, 4629

Factors of 4632

List of positive integer factors of 4632 that divides 4632 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 193, 386, 579, 772, 1158, 1544, 2316, 4632

Least Common Multiple of 4629 and 4632 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 4632, than apply into the LCM equation.

GCF(4629,4632) = 3
LCM(4629,4632) = ( 4629 × 4632) / 3
LCM(4629,4632) = 21441528 / 3
LCM(4629,4632) = 7147176

Properties of LCM 4629 and 4632

(i) The LCM of 4632 and 4629 is associative

LCM of 4629 and 4632 = LCM of 4632 and 4629

Related Least Common Multiples of 4629

Related Least Common Multiples of 4632

Frequently Asked Questions on LCM of 4629 and 4632

1. What is the LCM of 4629 and 4632?

Answer: LCM of 4629 and 4632 is 7147176.

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 4632?

Answer: Factors of 4632 are 1, 2, 3, 4, 6, 8, 12, 24, 193, 386, 579, 772, 1158, 1544, 2316, 4632. There are 16 integers that are factors of 4632. The greatest factor of 4632 is 4632.

4. How to Find the LCM of 4629 and 4632?

Answer:

Least Common Multiple of 4629 and 4632 = 7147176

Step 1: Find the prime factorization of 4629

4629 = 3 x 1543

Step 2: Find the prime factorization of 4632

4632 = 2 x 2 x 2 x 3 x 193

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

LCM = 7147176 = 2 x 2 x 2 x 3 x 193 x 1543

Step 4: Therefore, the least common multiple of 4629 and 4632 is 7147176.