Least Common Multiple of 4652 and 4656

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 4656 the smallest integer that is 5414928 that is divisible by both numbers.

Least Common Multiple (LCM) of 4652 and 4656 is 5414928.

LCM(4652,4656) = 5414928

LCM of 4652 and 4656

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

LCM of:
and

Least Common Multiple of 4652 and 4656

LCM of 4652 and 4656 is 5414928

Least common multiple can be found by multiplying the highest exponent prime factors of 4652 and 4656. First we will calculate the prime factors of 4652 and 4656.

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 4656


2 4656
2 2328
2 1164
2 582
3 291
97 97
1

Prime factors of 4656 are 2, 3,97. Prime factorization of 4656 in exponential form is:

4656 = 24×31×971

Now multiplying the highest exponent prime factors to calculate the LCM of 4652 and 4656.

LCM(4652,4656) = 24×31×971×11631
LCM(4652,4656) = 5414928

Factors of 4652

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

1, 2, 4, 1163, 2326, 4652

Factors of 4656

List of positive integer factors of 4656 that divides 4656 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 97, 194, 291, 388, 582, 776, 1164, 1552, 2328, 4656

Least Common Multiple of 4652 and 4656 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 4656, than apply into the LCM equation.

GCF(4652,4656) = 4
LCM(4652,4656) = ( 4652 × 4656) / 4
LCM(4652,4656) = 21659712 / 4
LCM(4652,4656) = 5414928

Properties of LCM 4652 and 4656

(i) The LCM of 4656 and 4652 is associative

LCM of 4652 and 4656 = LCM of 4656 and 4652

Related Least Common Multiples of 4652

Related Least Common Multiples of 4656

Frequently Asked Questions on LCM of 4652 and 4656

1. What is the LCM of 4652 and 4656?

Answer: LCM of 4652 and 4656 is 5414928.

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 4656?

Answer: Factors of 4656 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 97, 194, 291, 388, 582, 776, 1164, 1552, 2328, 4656. There are 20 integers that are factors of 4656. The greatest factor of 4656 is 4656.

4. How to Find the LCM of 4652 and 4656?

Answer:

Least Common Multiple of 4652 and 4656 = 5414928

Step 1: Find the prime factorization of 4652

4652 = 2 x 2 x 1163

Step 2: Find the prime factorization of 4656

4656 = 2 x 2 x 2 x 2 x 3 x 97

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

LCM = 5414928 = 2 x 2 x 2 x 2 x 3 x 97 x 1163

Step 4: Therefore, the least common multiple of 4652 and 4656 is 5414928.