Least Common Multiple of 4650 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 4650 and 4656 the smallest integer that is 3608400 that is divisible by both numbers.

Least Common Multiple (LCM) of 4650 and 4656 is 3608400.

LCM(4650,4656) = 3608400

LCM of 4650 and 4656

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

LCM of:
and

Least Common Multiple of 4650 and 4656

LCM of 4650 and 4656 is 3608400

Least common multiple can be found by multiplying the highest exponent prime factors of 4650 and 4656. First we will calculate the prime factors of 4650 and 4656.

Prime Factorization of 4650


2 4650
3 2325
5 775
5 155
31 31
1

Prime factors of 4650 are 2, 3, 5,31. Prime factorization of 4650 in exponential form is:

4650 = 21×31×52×311

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 4650 and 4656.

LCM(4650,4656) = 24×31×52×311×971
LCM(4650,4656) = 3608400

Factors of 4650

List of positive integer factors of 4650 that divides 4650 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 31, 50, 62, 75, 93, 150, 155, 186, 310, 465, 775, 930, 1550, 2325, 4650

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 4650 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 4650 and 4656, than apply into the LCM equation.

GCF(4650,4656) = 6
LCM(4650,4656) = ( 4650 × 4656) / 6
LCM(4650,4656) = 21650400 / 6
LCM(4650,4656) = 3608400

Properties of LCM 4650 and 4656

(i) The LCM of 4656 and 4650 is associative

LCM of 4650 and 4656 = LCM of 4656 and 4650

Related Least Common Multiples of 4650

Related Least Common Multiples of 4656

Frequently Asked Questions on LCM of 4650 and 4656

1. What is the LCM of 4650 and 4656?

Answer: LCM of 4650 and 4656 is 3608400.

2. What are the Factors of 4650?

Answer: Factors of 4650 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 31, 50, 62, 75, 93, 150, 155, 186, 310, 465, 775, 930, 1550, 2325, 4650. There are 24 integers that are factors of 4650. The greatest factor of 4650 is 4650.

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 4650 and 4656?

Answer:

Least Common Multiple of 4650 and 4656 = 3608400

Step 1: Find the prime factorization of 4650

4650 = 2 x 3 x 5 x 5 x 31

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 = 3608400 = 2 x 2 x 2 x 2 x 3 x 5 x 5 x 31 x 97

Step 4: Therefore, the least common multiple of 4650 and 4656 is 3608400.