Least Common Multiple of 4648 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 4648 and 4656 the smallest integer that is 2705136 that is divisible by both numbers.

Least Common Multiple (LCM) of 4648 and 4656 is 2705136.

LCM(4648,4656) = 2705136

LCM of 4648 and 4656

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

LCM of:
and

Least Common Multiple of 4648 and 4656

LCM of 4648 and 4656 is 2705136

Least common multiple can be found by multiplying the highest exponent prime factors of 4648 and 4656. First we will calculate the prime factors of 4648 and 4656.

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 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 4648 and 4656.

LCM(4648,4656) = 24×31×71×831×971
LCM(4648,4656) = 2705136

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 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 4648 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 4648 and 4656, than apply into the LCM equation.

GCF(4648,4656) = 8
LCM(4648,4656) = ( 4648 × 4656) / 8
LCM(4648,4656) = 21641088 / 8
LCM(4648,4656) = 2705136

Properties of LCM 4648 and 4656

(i) The LCM of 4656 and 4648 is associative

LCM of 4648 and 4656 = LCM of 4656 and 4648

Related Least Common Multiples of 4648

Related Least Common Multiples of 4656

Frequently Asked Questions on LCM of 4648 and 4656

1. What is the LCM of 4648 and 4656?

Answer: LCM of 4648 and 4656 is 2705136.

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 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 4648 and 4656?

Answer:

Least Common Multiple of 4648 and 4656 = 2705136

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 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 = 2705136 = 2 x 2 x 2 x 2 x 3 x 7 x 83 x 97

Step 4: Therefore, the least common multiple of 4648 and 4656 is 2705136.