Least Common Multiple of 4629 and 4637

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 4637 the smallest integer that is 21464673 that is divisible by both numbers.

Least Common Multiple (LCM) of 4629 and 4637 is 21464673.

LCM(4629,4637) = 21464673

LCM of 4629 and 4637

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

LCM of:
and

Least Common Multiple of 4629 and 4637

LCM of 4629 and 4637 is 21464673

Least common multiple can be found by multiplying the highest exponent prime factors of 4629 and 4637. First we will calculate the prime factors of 4629 and 4637.

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 4637


4637 4637
1

Prime factors of 4637 are 4637. Prime factorization of 4637 in exponential form is:

4637 = 46371

Now multiplying the highest exponent prime factors to calculate the LCM of 4629 and 4637.

LCM(4629,4637) = 31×15431×46371
LCM(4629,4637) = 21464673

Factors of 4629

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

1, 3, 1543, 4629

Factors of 4637

List of positive integer factors of 4637 that divides 4637 without a remainder.

1, 4637

Least Common Multiple of 4629 and 4637 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 4637, than apply into the LCM equation.

GCF(4629,4637) = 1
LCM(4629,4637) = ( 4629 × 4637) / 1
LCM(4629,4637) = 21464673 / 1
LCM(4629,4637) = 21464673

Properties of LCM 4629 and 4637

(i) The LCM of 4637 and 4629 is associative

LCM of 4629 and 4637 = LCM of 4637 and 4629

Related Least Common Multiples of 4629

Related Least Common Multiples of 4637

Frequently Asked Questions on LCM of 4629 and 4637

1. What is the LCM of 4629 and 4637?

Answer: LCM of 4629 and 4637 is 21464673.

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 4637?

Answer: Factors of 4637 are 1, 4637. There are 2 integers that are factors of 4637. The greatest factor of 4637 is 4637.

4. How to Find the LCM of 4629 and 4637?

Answer:

Least Common Multiple of 4629 and 4637 = 21464673

Step 1: Find the prime factorization of 4629

4629 = 3 x 1543

Step 2: Find the prime factorization of 4637

4637 = 4637

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

LCM = 21464673 = 3 x 1543 x 4637

Step 4: Therefore, the least common multiple of 4629 and 4637 is 21464673.