Least Common Multiple of 4943 and 4950

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4943 and 4950 the smallest integer that is 24467850 that is divisible by both numbers.

Least Common Multiple (LCM) of 4943 and 4950 is 24467850.

LCM(4943,4950) = 24467850

LCM of 4943 and 4950

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

LCM of:
and

Least Common Multiple of 4943 and 4950

LCM of 4943 and 4950 is 24467850

Least common multiple can be found by multiplying the highest exponent prime factors of 4943 and 4950. First we will calculate the prime factors of 4943 and 4950.

Prime Factorization of 4943


4943 4943
1

Prime factors of 4943 are 4943. Prime factorization of 4943 in exponential form is:

4943 = 49431

Prime Factorization of 4950


2 4950
3 2475
3 825
5 275
5 55
11 11
1

Prime factors of 4950 are 2, 3, 5,11. Prime factorization of 4950 in exponential form is:

4950 = 21×32×52×111

Now multiplying the highest exponent prime factors to calculate the LCM of 4943 and 4950.

LCM(4943,4950) = 21×32×52×111×49431
LCM(4943,4950) = 24467850

Factors of 4943

List of positive integer factors of 4943 that divides 4943 without a remainder.

1, 4943

Factors of 4950

List of positive integer factors of 4950 that divides 4950 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 25, 30, 33, 45, 50, 55, 66, 75, 90, 99, 110, 150, 165, 198, 225, 275, 330, 450, 495, 550, 825, 990, 1650, 2475, 4950

Least Common Multiple of 4943 and 4950 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4943 and 4950, than apply into the LCM equation.

GCF(4943,4950) = 1
LCM(4943,4950) = ( 4943 × 4950) / 1
LCM(4943,4950) = 24467850 / 1
LCM(4943,4950) = 24467850

Properties of LCM 4943 and 4950

(i) The LCM of 4950 and 4943 is associative

LCM of 4943 and 4950 = LCM of 4950 and 4943

Related Least Common Multiples of 4943

Related Least Common Multiples of 4950

Frequently Asked Questions on LCM of 4943 and 4950

1. What is the LCM of 4943 and 4950?

Answer: LCM of 4943 and 4950 is 24467850.

2. What are the Factors of 4943?

Answer: Factors of 4943 are 1, 4943. There are 2 integers that are factors of 4943. The greatest factor of 4943 is 4943.

3. What are the Factors of 4950?

Answer: Factors of 4950 are 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 25, 30, 33, 45, 50, 55, 66, 75, 90, 99, 110, 150, 165, 198, 225, 275, 330, 450, 495, 550, 825, 990, 1650, 2475, 4950. There are 36 integers that are factors of 4950. The greatest factor of 4950 is 4950.

4. How to Find the LCM of 4943 and 4950?

Answer:

Least Common Multiple of 4943 and 4950 = 24467850

Step 1: Find the prime factorization of 4943

4943 = 4943

Step 2: Find the prime factorization of 4950

4950 = 2 x 3 x 3 x 5 x 5 x 11

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

LCM = 24467850 = 2 x 3 x 3 x 5 x 5 x 11 x 4943

Step 4: Therefore, the least common multiple of 4943 and 4950 is 24467850.