Least Common Multiple of 4648 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 4648 and 4655 the smallest integer that is 3090920 that is divisible by both numbers.

Least Common Multiple (LCM) of 4648 and 4655 is 3090920.

LCM(4648,4655) = 3090920

LCM of 4648 and 4655

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

LCM of:
and

Least Common Multiple of 4648 and 4655

LCM of 4648 and 4655 is 3090920

Least common multiple can be found by multiplying the highest exponent prime factors of 4648 and 4655. First we will calculate the prime factors of 4648 and 4655.

Prime Factorization of 4648


2 4648
2 2324
2 1162
7 581
83 83
1

Prime factors of 4648 are 2, 7,83. Prime factorization of 4648 in exponential form is:

4648 = 23×71×831

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 4648 and 4655.

LCM(4648,4655) = 23×51×72×191×831
LCM(4648,4655) = 3090920

Factors of 4648

List of positive integer factors of 4648 that divides 4648 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 83, 166, 332, 581, 664, 1162, 2324, 4648

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 4648 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 4648 and 4655, than apply into the LCM equation.

GCF(4648,4655) = 7
LCM(4648,4655) = ( 4648 × 4655) / 7
LCM(4648,4655) = 21636440 / 7
LCM(4648,4655) = 3090920

Properties of LCM 4648 and 4655

(i) The LCM of 4655 and 4648 is associative

LCM of 4648 and 4655 = LCM of 4655 and 4648

Related Least Common Multiples of 4648

Related Least Common Multiples of 4655

Frequently Asked Questions on LCM of 4648 and 4655

1. What is the LCM of 4648 and 4655?

Answer: LCM of 4648 and 4655 is 3090920.

2. What are the Factors of 4648?

Answer: Factors of 4648 are 1, 2, 4, 7, 8, 14, 28, 56, 83, 166, 332, 581, 664, 1162, 2324, 4648. There are 16 integers that are factors of 4648. The greatest factor of 4648 is 4648.

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 4648 and 4655?

Answer:

Least Common Multiple of 4648 and 4655 = 3090920

Step 1: Find the prime factorization of 4648

4648 = 2 x 2 x 2 x 7 x 83

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 = 3090920 = 2 x 2 x 2 x 5 x 7 x 7 x 19 x 83

Step 4: Therefore, the least common multiple of 4648 and 4655 is 3090920.