Least Common Multiple of 4649 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 4649 and 4653 the smallest integer that is 21631797 that is divisible by both numbers.

Least Common Multiple (LCM) of 4649 and 4653 is 21631797.

LCM(4649,4653) = 21631797

LCM of 4649 and 4653

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

LCM of:
and

Least Common Multiple of 4649 and 4653

LCM of 4649 and 4653 is 21631797

Least common multiple can be found by multiplying the highest exponent prime factors of 4649 and 4653. First we will calculate the prime factors of 4649 and 4653.

Prime Factorization of 4649


4649 4649
1

Prime factors of 4649 are 4649. Prime factorization of 4649 in exponential form is:

4649 = 46491

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 4649 and 4653.

LCM(4649,4653) = 32×111×471×46491
LCM(4649,4653) = 21631797

Factors of 4649

List of positive integer factors of 4649 that divides 4649 without a remainder.

1, 4649

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 4649 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 4649 and 4653, than apply into the LCM equation.

GCF(4649,4653) = 1
LCM(4649,4653) = ( 4649 × 4653) / 1
LCM(4649,4653) = 21631797 / 1
LCM(4649,4653) = 21631797

Properties of LCM 4649 and 4653

(i) The LCM of 4653 and 4649 is associative

LCM of 4649 and 4653 = LCM of 4653 and 4649

Related Least Common Multiples of 4649

Related Least Common Multiples of 4653

Frequently Asked Questions on LCM of 4649 and 4653

1. What is the LCM of 4649 and 4653?

Answer: LCM of 4649 and 4653 is 21631797.

2. What are the Factors of 4649?

Answer: Factors of 4649 are 1, 4649. There are 2 integers that are factors of 4649. The greatest factor of 4649 is 4649.

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 4649 and 4653?

Answer:

Least Common Multiple of 4649 and 4653 = 21631797

Step 1: Find the prime factorization of 4649

4649 = 4649

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 = 21631797 = 3 x 3 x 11 x 47 x 4649

Step 4: Therefore, the least common multiple of 4649 and 4653 is 21631797.