Least Common Multiple of 4648 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 4648 and 4653 the smallest integer that is 21627144 that is divisible by both numbers.

Least Common Multiple (LCM) of 4648 and 4653 is 21627144.

LCM(4648,4653) = 21627144

LCM of 4648 and 4653

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

LCM of:
and

Least Common Multiple of 4648 and 4653

LCM of 4648 and 4653 is 21627144

Least common multiple can be found by multiplying the highest exponent prime factors of 4648 and 4653. First we will calculate the prime factors of 4648 and 4653.

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 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 4648 and 4653.

LCM(4648,4653) = 23×32×71×111×471×831
LCM(4648,4653) = 21627144

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 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 4648 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 4648 and 4653, than apply into the LCM equation.

GCF(4648,4653) = 1
LCM(4648,4653) = ( 4648 × 4653) / 1
LCM(4648,4653) = 21627144 / 1
LCM(4648,4653) = 21627144

Properties of LCM 4648 and 4653

(i) The LCM of 4653 and 4648 is associative

LCM of 4648 and 4653 = LCM of 4653 and 4648

Related Least Common Multiples of 4648

Related Least Common Multiples of 4653

Frequently Asked Questions on LCM of 4648 and 4653

1. What is the LCM of 4648 and 4653?

Answer: LCM of 4648 and 4653 is 21627144.

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 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 4648 and 4653?

Answer:

Least Common Multiple of 4648 and 4653 = 21627144

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 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 = 21627144 = 2 x 2 x 2 x 3 x 3 x 7 x 11 x 47 x 83

Step 4: Therefore, the least common multiple of 4648 and 4653 is 21627144.