Least Common Multiple of 4647 and 4655

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 4655 the smallest integer that is 21631785 that is divisible by both numbers.

Least Common Multiple (LCM) of 4647 and 4655 is 21631785.

LCM(4647,4655) = 21631785

LCM of 4647 and 4655

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

LCM of:
and

Least Common Multiple of 4647 and 4655

LCM of 4647 and 4655 is 21631785

Least common multiple can be found by multiplying the highest exponent prime factors of 4647 and 4655. First we will calculate the prime factors of 4647 and 4655.

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 4655


5 4655
7 931
7 133
19 19
1

Prime factors of 4655 are 5, 7,19. Prime factorization of 4655 in exponential form is:

4655 = 51×72×191

Now multiplying the highest exponent prime factors to calculate the LCM of 4647 and 4655.

LCM(4647,4655) = 31×51×72×191×15491
LCM(4647,4655) = 21631785

Factors of 4647

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

1, 3, 1549, 4647

Factors of 4655

List of positive integer factors of 4655 that divides 4655 without a remainder.

1, 5, 7, 19, 35, 49, 95, 133, 245, 665, 931, 4655

Least Common Multiple of 4647 and 4655 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 4655, than apply into the LCM equation.

GCF(4647,4655) = 1
LCM(4647,4655) = ( 4647 × 4655) / 1
LCM(4647,4655) = 21631785 / 1
LCM(4647,4655) = 21631785

Properties of LCM 4647 and 4655

(i) The LCM of 4655 and 4647 is associative

LCM of 4647 and 4655 = LCM of 4655 and 4647

Related Least Common Multiples of 4647

Related Least Common Multiples of 4655

Frequently Asked Questions on LCM of 4647 and 4655

1. What is the LCM of 4647 and 4655?

Answer: LCM of 4647 and 4655 is 21631785.

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 4655?

Answer: Factors of 4655 are 1, 5, 7, 19, 35, 49, 95, 133, 245, 665, 931, 4655. There are 12 integers that are factors of 4655. The greatest factor of 4655 is 4655.

4. How to Find the LCM of 4647 and 4655?

Answer:

Least Common Multiple of 4647 and 4655 = 21631785

Step 1: Find the prime factorization of 4647

4647 = 3 x 1549

Step 2: Find the prime factorization of 4655

4655 = 5 x 7 x 7 x 19

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

LCM = 21631785 = 3 x 5 x 7 x 7 x 19 x 1549

Step 4: Therefore, the least common multiple of 4647 and 4655 is 21631785.