Least Common Multiple of 4649 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 4649 and 4656 the smallest integer that is 21645744 that is divisible by both numbers.

Least Common Multiple (LCM) of 4649 and 4656 is 21645744.

LCM(4649,4656) = 21645744

LCM of 4649 and 4656

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

LCM of:
and

Least Common Multiple of 4649 and 4656

LCM of 4649 and 4656 is 21645744

Least common multiple can be found by multiplying the highest exponent prime factors of 4649 and 4656. First we will calculate the prime factors of 4649 and 4656.

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 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 4649 and 4656.

LCM(4649,4656) = 24×31×971×46491
LCM(4649,4656) = 21645744

Factors of 4649

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

1, 4649

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 4649 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 4649 and 4656, than apply into the LCM equation.

GCF(4649,4656) = 1
LCM(4649,4656) = ( 4649 × 4656) / 1
LCM(4649,4656) = 21645744 / 1
LCM(4649,4656) = 21645744

Properties of LCM 4649 and 4656

(i) The LCM of 4656 and 4649 is associative

LCM of 4649 and 4656 = LCM of 4656 and 4649

Related Least Common Multiples of 4649

Related Least Common Multiples of 4656

Frequently Asked Questions on LCM of 4649 and 4656

1. What is the LCM of 4649 and 4656?

Answer: LCM of 4649 and 4656 is 21645744.

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 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 4649 and 4656?

Answer:

Least Common Multiple of 4649 and 4656 = 21645744

Step 1: Find the prime factorization of 4649

4649 = 4649

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 = 21645744 = 2 x 2 x 2 x 2 x 3 x 97 x 4649

Step 4: Therefore, the least common multiple of 4649 and 4656 is 21645744.