Least Common Multiple of 4647 and 4653

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 4653 the smallest integer that is 7207497 that is divisible by both numbers.

Least Common Multiple (LCM) of 4647 and 4653 is 7207497.

LCM(4647,4653) = 7207497

LCM of 4647 and 4653

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

LCM of:
and

Least Common Multiple of 4647 and 4653

LCM of 4647 and 4653 is 7207497

Least common multiple can be found by multiplying the highest exponent prime factors of 4647 and 4653. First we will calculate the prime factors of 4647 and 4653.

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 4653


3 4653
3 1551
11 517
47 47
1

Prime factors of 4653 are 3, 11,47. Prime factorization of 4653 in exponential form is:

4653 = 32×111×471

Now multiplying the highest exponent prime factors to calculate the LCM of 4647 and 4653.

LCM(4647,4653) = 32×111×471×15491
LCM(4647,4653) = 7207497

Factors of 4647

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

1, 3, 1549, 4647

Factors of 4653

List of positive integer factors of 4653 that divides 4653 without a remainder.

1, 3, 9, 11, 33, 47, 99, 141, 423, 517, 1551, 4653

Least Common Multiple of 4647 and 4653 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 4653, than apply into the LCM equation.

GCF(4647,4653) = 3
LCM(4647,4653) = ( 4647 × 4653) / 3
LCM(4647,4653) = 21622491 / 3
LCM(4647,4653) = 7207497

Properties of LCM 4647 and 4653

(i) The LCM of 4653 and 4647 is associative

LCM of 4647 and 4653 = LCM of 4653 and 4647

Related Least Common Multiples of 4647

Related Least Common Multiples of 4653

Frequently Asked Questions on LCM of 4647 and 4653

1. What is the LCM of 4647 and 4653?

Answer: LCM of 4647 and 4653 is 7207497.

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 4653?

Answer: Factors of 4653 are 1, 3, 9, 11, 33, 47, 99, 141, 423, 517, 1551, 4653. There are 12 integers that are factors of 4653. The greatest factor of 4653 is 4653.

4. How to Find the LCM of 4647 and 4653?

Answer:

Least Common Multiple of 4647 and 4653 = 7207497

Step 1: Find the prime factorization of 4647

4647 = 3 x 1549

Step 2: Find the prime factorization of 4653

4653 = 3 x 3 x 11 x 47

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

LCM = 7207497 = 3 x 3 x 11 x 47 x 1549

Step 4: Therefore, the least common multiple of 4647 and 4653 is 7207497.