Least Common Multiple of 4938 and 4943

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4938 and 4943 the smallest integer that is 24408534 that is divisible by both numbers.

Least Common Multiple (LCM) of 4938 and 4943 is 24408534.

LCM(4938,4943) = 24408534

LCM of 4938 and 4943

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

LCM of:
and

Least Common Multiple of 4938 and 4943

LCM of 4938 and 4943 is 24408534

Least common multiple can be found by multiplying the highest exponent prime factors of 4938 and 4943. First we will calculate the prime factors of 4938 and 4943.

Prime Factorization of 4938


2 4938
3 2469
823 823
1

Prime factors of 4938 are 2, 3,823. Prime factorization of 4938 in exponential form is:

4938 = 21×31×8231

Prime Factorization of 4943


4943 4943
1

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

4943 = 49431

Now multiplying the highest exponent prime factors to calculate the LCM of 4938 and 4943.

LCM(4938,4943) = 21×31×8231×49431
LCM(4938,4943) = 24408534

Factors of 4938

List of positive integer factors of 4938 that divides 4938 without a remainder.

1, 2, 3, 6, 823, 1646, 2469, 4938

Factors of 4943

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

1, 4943

Least Common Multiple of 4938 and 4943 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4938 and 4943, than apply into the LCM equation.

GCF(4938,4943) = 1
LCM(4938,4943) = ( 4938 × 4943) / 1
LCM(4938,4943) = 24408534 / 1
LCM(4938,4943) = 24408534

Properties of LCM 4938 and 4943

(i) The LCM of 4943 and 4938 is associative

LCM of 4938 and 4943 = LCM of 4943 and 4938

Related Least Common Multiples of 4938

Related Least Common Multiples of 4943

Frequently Asked Questions on LCM of 4938 and 4943

1. What is the LCM of 4938 and 4943?

Answer: LCM of 4938 and 4943 is 24408534.

2. What are the Factors of 4938?

Answer: Factors of 4938 are 1, 2, 3, 6, 823, 1646, 2469, 4938. There are 8 integers that are factors of 4938. The greatest factor of 4938 is 4938.

3. 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.

4. How to Find the LCM of 4938 and 4943?

Answer:

Least Common Multiple of 4938 and 4943 = 24408534

Step 1: Find the prime factorization of 4938

4938 = 2 x 3 x 823

Step 2: Find the prime factorization of 4943

4943 = 4943

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

LCM = 24408534 = 2 x 3 x 823 x 4943

Step 4: Therefore, the least common multiple of 4938 and 4943 is 24408534.