Least Common Multiple of 4656 and 4663

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 4663 the smallest integer that is 21710928 that is divisible by both numbers.

Least Common Multiple (LCM) of 4656 and 4663 is 21710928.

LCM(4656,4663) = 21710928

LCM of 4656 and 4663

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

LCM of:
and

Least Common Multiple of 4656 and 4663

LCM of 4656 and 4663 is 21710928

Least common multiple can be found by multiplying the highest exponent prime factors of 4656 and 4663. First we will calculate the prime factors of 4656 and 4663.

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 4663


4663 4663
1

Prime factors of 4663 are 4663. Prime factorization of 4663 in exponential form is:

4663 = 46631

Now multiplying the highest exponent prime factors to calculate the LCM of 4656 and 4663.

LCM(4656,4663) = 24×31×971×46631
LCM(4656,4663) = 21710928

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 4663

List of positive integer factors of 4663 that divides 4663 without a remainder.

1, 4663

Least Common Multiple of 4656 and 4663 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 4663, than apply into the LCM equation.

GCF(4656,4663) = 1
LCM(4656,4663) = ( 4656 × 4663) / 1
LCM(4656,4663) = 21710928 / 1
LCM(4656,4663) = 21710928

Properties of LCM 4656 and 4663

(i) The LCM of 4663 and 4656 is associative

LCM of 4656 and 4663 = LCM of 4663 and 4656

Related Least Common Multiples of 4656

Related Least Common Multiples of 4663

Frequently Asked Questions on LCM of 4656 and 4663

1. What is the LCM of 4656 and 4663?

Answer: LCM of 4656 and 4663 is 21710928.

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 4663?

Answer: Factors of 4663 are 1, 4663. There are 2 integers that are factors of 4663. The greatest factor of 4663 is 4663.

4. How to Find the LCM of 4656 and 4663?

Answer:

Least Common Multiple of 4656 and 4663 = 21710928

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 4663

4663 = 4663

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

LCM = 21710928 = 2 x 2 x 2 x 2 x 3 x 97 x 4663

Step 4: Therefore, the least common multiple of 4656 and 4663 is 21710928.