Least Common Multiple of 4647 and 4652

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4647 and 4652 the smallest integer that is 21617844 that is divisible by both numbers.

Least Common Multiple (LCM) of 4647 and 4652 is 21617844.

LCM(4647,4652) = 21617844

LCM of 4647 and 4652

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

LCM of:
and

Least Common Multiple of 4647 and 4652

LCM of 4647 and 4652 is 21617844

Least common multiple can be found by multiplying the highest exponent prime factors of 4647 and 4652. First we will calculate the prime factors of 4647 and 4652.

Prime Factorization of 4647


3 4647
1549 1549
1

Prime factors of 4647 are 3,1549. Prime factorization of 4647 in exponential form is:

4647 = 31×15491

Prime Factorization of 4652


2 4652
2 2326
1163 1163
1

Prime factors of 4652 are 2,1163. Prime factorization of 4652 in exponential form is:

4652 = 22×11631

Now multiplying the highest exponent prime factors to calculate the LCM of 4647 and 4652.

LCM(4647,4652) = 22×31×11631×15491
LCM(4647,4652) = 21617844

Factors of 4647

List of positive integer factors of 4647 that divides 4647 without a remainder.

1, 3, 1549, 4647

Factors of 4652

List of positive integer factors of 4652 that divides 4652 without a remainder.

1, 2, 4, 1163, 2326, 4652

Least Common Multiple of 4647 and 4652 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4647 and 4652, than apply into the LCM equation.

GCF(4647,4652) = 1
LCM(4647,4652) = ( 4647 × 4652) / 1
LCM(4647,4652) = 21617844 / 1
LCM(4647,4652) = 21617844

Properties of LCM 4647 and 4652

(i) The LCM of 4652 and 4647 is associative

LCM of 4647 and 4652 = LCM of 4652 and 4647

Related Least Common Multiples of 4647

Related Least Common Multiples of 4652

Frequently Asked Questions on LCM of 4647 and 4652

1. What is the LCM of 4647 and 4652?

Answer: LCM of 4647 and 4652 is 21617844.

2. What are the Factors of 4647?

Answer: Factors of 4647 are 1, 3, 1549, 4647. There are 4 integers that are factors of 4647. The greatest factor of 4647 is 4647.

3. What are the Factors of 4652?

Answer: Factors of 4652 are 1, 2, 4, 1163, 2326, 4652. There are 6 integers that are factors of 4652. The greatest factor of 4652 is 4652.

4. How to Find the LCM of 4647 and 4652?

Answer:

Least Common Multiple of 4647 and 4652 = 21617844

Step 1: Find the prime factorization of 4647

4647 = 3 x 1549

Step 2: Find the prime factorization of 4652

4652 = 2 x 2 x 1163

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

LCM = 21617844 = 2 x 2 x 3 x 1163 x 1549

Step 4: Therefore, the least common multiple of 4647 and 4652 is 21617844.