Least Common Multiple of 4652 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 4652 and 4653 the smallest integer that is 21645756 that is divisible by both numbers.

Least Common Multiple (LCM) of 4652 and 4653 is 21645756.

LCM(4652,4653) = 21645756

LCM of 4652 and 4653

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

LCM of:
and

Least Common Multiple of 4652 and 4653

LCM of 4652 and 4653 is 21645756

Least common multiple can be found by multiplying the highest exponent prime factors of 4652 and 4653. First we will calculate the prime factors of 4652 and 4653.

Prime Factorization of 4652


2 4652
2 2326
1163 1163
1

Prime factors of 4652 are 2,1163. Prime factorization of 4652 in exponential form is:

4652 = 22×11631

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 4652 and 4653.

LCM(4652,4653) = 22×32×111×471×11631
LCM(4652,4653) = 21645756

Factors of 4652

List of positive integer factors of 4652 that divides 4652 without a remainder.

1, 2, 4, 1163, 2326, 4652

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 4652 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 4652 and 4653, than apply into the LCM equation.

GCF(4652,4653) = 1
LCM(4652,4653) = ( 4652 × 4653) / 1
LCM(4652,4653) = 21645756 / 1
LCM(4652,4653) = 21645756

Properties of LCM 4652 and 4653

(i) The LCM of 4653 and 4652 is associative

LCM of 4652 and 4653 = LCM of 4653 and 4652

Related Least Common Multiples of 4652

Related Least Common Multiples of 4653

Frequently Asked Questions on LCM of 4652 and 4653

1. What is the LCM of 4652 and 4653?

Answer: LCM of 4652 and 4653 is 21645756.

2. What are the Factors of 4652?

Answer: Factors of 4652 are 1, 2, 4, 1163, 2326, 4652. There are 6 integers that are factors of 4652. The greatest factor of 4652 is 4652.

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 4652 and 4653?

Answer:

Least Common Multiple of 4652 and 4653 = 21645756

Step 1: Find the prime factorization of 4652

4652 = 2 x 2 x 1163

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 = 21645756 = 2 x 2 x 3 x 3 x 11 x 47 x 1163

Step 4: Therefore, the least common multiple of 4652 and 4653 is 21645756.