Least Common Multiple of 4643 and 4650

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4643 and 4650 the smallest integer that is 21589950 that is divisible by both numbers.

Least Common Multiple (LCM) of 4643 and 4650 is 21589950.

LCM(4643,4650) = 21589950

LCM of 4643 and 4650

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

LCM of:
and

Least Common Multiple of 4643 and 4650

LCM of 4643 and 4650 is 21589950

Least common multiple can be found by multiplying the highest exponent prime factors of 4643 and 4650. First we will calculate the prime factors of 4643 and 4650.

Prime Factorization of 4643


4643 4643
1

Prime factors of 4643 are 4643. Prime factorization of 4643 in exponential form is:

4643 = 46431

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4643 and 4650.

LCM(4643,4650) = 21×31×52×311×46431
LCM(4643,4650) = 21589950

Factors of 4643

List of positive integer factors of 4643 that divides 4643 without a remainder.

1, 4643

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

Least Common Multiple of 4643 and 4650 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4643 and 4650, than apply into the LCM equation.

GCF(4643,4650) = 1
LCM(4643,4650) = ( 4643 × 4650) / 1
LCM(4643,4650) = 21589950 / 1
LCM(4643,4650) = 21589950

Properties of LCM 4643 and 4650

(i) The LCM of 4650 and 4643 is associative

LCM of 4643 and 4650 = LCM of 4650 and 4643

Related Least Common Multiples of 4643

Related Least Common Multiples of 4650

Frequently Asked Questions on LCM of 4643 and 4650

1. What is the LCM of 4643 and 4650?

Answer: LCM of 4643 and 4650 is 21589950.

2. What are the Factors of 4643?

Answer: Factors of 4643 are 1, 4643. There are 2 integers that are factors of 4643. The greatest factor of 4643 is 4643.

3. 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.

4. How to Find the LCM of 4643 and 4650?

Answer:

Least Common Multiple of 4643 and 4650 = 21589950

Step 1: Find the prime factorization of 4643

4643 = 4643

Step 2: Find the prime factorization of 4650

4650 = 2 x 3 x 5 x 5 x 31

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

LCM = 21589950 = 2 x 3 x 5 x 5 x 31 x 4643

Step 4: Therefore, the least common multiple of 4643 and 4650 is 21589950.