Least Common Multiple of 4656 and 4662

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 4662 the smallest integer that is 3617712 that is divisible by both numbers.

Least Common Multiple (LCM) of 4656 and 4662 is 3617712.

LCM(4656,4662) = 3617712

LCM of 4656 and 4662

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

LCM of:
and

Least Common Multiple of 4656 and 4662

LCM of 4656 and 4662 is 3617712

Least common multiple can be found by multiplying the highest exponent prime factors of 4656 and 4662. First we will calculate the prime factors of 4656 and 4662.

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 4662


2 4662
3 2331
3 777
7 259
37 37
1

Prime factors of 4662 are 2, 3, 7,37. Prime factorization of 4662 in exponential form is:

4662 = 21×32×71×371

Now multiplying the highest exponent prime factors to calculate the LCM of 4656 and 4662.

LCM(4656,4662) = 24×32×71×371×971
LCM(4656,4662) = 3617712

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 4662

List of positive integer factors of 4662 that divides 4662 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 37, 42, 63, 74, 111, 126, 222, 259, 333, 518, 666, 777, 1554, 2331, 4662

Least Common Multiple of 4656 and 4662 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 4662, than apply into the LCM equation.

GCF(4656,4662) = 6
LCM(4656,4662) = ( 4656 × 4662) / 6
LCM(4656,4662) = 21706272 / 6
LCM(4656,4662) = 3617712

Properties of LCM 4656 and 4662

(i) The LCM of 4662 and 4656 is associative

LCM of 4656 and 4662 = LCM of 4662 and 4656

Related Least Common Multiples of 4656

Related Least Common Multiples of 4662

Frequently Asked Questions on LCM of 4656 and 4662

1. What is the LCM of 4656 and 4662?

Answer: LCM of 4656 and 4662 is 3617712.

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 4662?

Answer: Factors of 4662 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 37, 42, 63, 74, 111, 126, 222, 259, 333, 518, 666, 777, 1554, 2331, 4662. There are 24 integers that are factors of 4662. The greatest factor of 4662 is 4662.

4. How to Find the LCM of 4656 and 4662?

Answer:

Least Common Multiple of 4656 and 4662 = 3617712

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 4662

4662 = 2 x 3 x 3 x 7 x 37

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

LCM = 3617712 = 2 x 2 x 2 x 2 x 3 x 3 x 7 x 37 x 97

Step 4: Therefore, the least common multiple of 4656 and 4662 is 3617712.