Least Common Multiple of 4656 and 4661

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4656 and 4661 the smallest integer that is 21701616 that is divisible by both numbers.

Least Common Multiple (LCM) of 4656 and 4661 is 21701616.

LCM(4656,4661) = 21701616

LCM of 4656 and 4661

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

LCM of:
and

Least Common Multiple of 4656 and 4661

LCM of 4656 and 4661 is 21701616

Least common multiple can be found by multiplying the highest exponent prime factors of 4656 and 4661. First we will calculate the prime factors of 4656 and 4661.

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

Prime Factorization of 4661


59 4661
79 79
1

Prime factors of 4661 are 59,79. Prime factorization of 4661 in exponential form is:

4661 = 591×791

Now multiplying the highest exponent prime factors to calculate the LCM of 4656 and 4661.

LCM(4656,4661) = 24×31×591×791×971
LCM(4656,4661) = 21701616

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

Factors of 4661

List of positive integer factors of 4661 that divides 4661 without a remainder.

1, 59, 79, 4661

Least Common Multiple of 4656 and 4661 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4656 and 4661, than apply into the LCM equation.

GCF(4656,4661) = 1
LCM(4656,4661) = ( 4656 × 4661) / 1
LCM(4656,4661) = 21701616 / 1
LCM(4656,4661) = 21701616

Properties of LCM 4656 and 4661

(i) The LCM of 4661 and 4656 is associative

LCM of 4656 and 4661 = LCM of 4661 and 4656

Related Least Common Multiples of 4656

Related Least Common Multiples of 4661

Frequently Asked Questions on LCM of 4656 and 4661

1. What is the LCM of 4656 and 4661?

Answer: LCM of 4656 and 4661 is 21701616.

2. 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.

3. What are the Factors of 4661?

Answer: Factors of 4661 are 1, 59, 79, 4661. There are 4 integers that are factors of 4661. The greatest factor of 4661 is 4661.

4. How to Find the LCM of 4656 and 4661?

Answer:

Least Common Multiple of 4656 and 4661 = 21701616

Step 1: Find the prime factorization of 4656

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

Step 2: Find the prime factorization of 4661

4661 = 59 x 79

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

LCM = 21701616 = 2 x 2 x 2 x 2 x 3 x 59 x 79 x 97

Step 4: Therefore, the least common multiple of 4656 and 4661 is 21701616.