Least Common Multiple of 4943 and 4948

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 4948 the smallest integer that is 24457964 that is divisible by both numbers.

Least Common Multiple (LCM) of 4943 and 4948 is 24457964.

LCM(4943,4948) = 24457964

LCM of 4943 and 4948

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

LCM of:
and

Least Common Multiple of 4943 and 4948

LCM of 4943 and 4948 is 24457964

Least common multiple can be found by multiplying the highest exponent prime factors of 4943 and 4948. First we will calculate the prime factors of 4943 and 4948.

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 4948


2 4948
2 2474
1237 1237
1

Prime factors of 4948 are 2,1237. Prime factorization of 4948 in exponential form is:

4948 = 22×12371

Now multiplying the highest exponent prime factors to calculate the LCM of 4943 and 4948.

LCM(4943,4948) = 22×12371×49431
LCM(4943,4948) = 24457964

Factors of 4943

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

1, 4943

Factors of 4948

List of positive integer factors of 4948 that divides 4948 without a remainder.

1, 2, 4, 1237, 2474, 4948

Least Common Multiple of 4943 and 4948 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 4948, than apply into the LCM equation.

GCF(4943,4948) = 1
LCM(4943,4948) = ( 4943 × 4948) / 1
LCM(4943,4948) = 24457964 / 1
LCM(4943,4948) = 24457964

Properties of LCM 4943 and 4948

(i) The LCM of 4948 and 4943 is associative

LCM of 4943 and 4948 = LCM of 4948 and 4943

Related Least Common Multiples of 4943

Related Least Common Multiples of 4948

Frequently Asked Questions on LCM of 4943 and 4948

1. What is the LCM of 4943 and 4948?

Answer: LCM of 4943 and 4948 is 24457964.

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 4948?

Answer: Factors of 4948 are 1, 2, 4, 1237, 2474, 4948. There are 6 integers that are factors of 4948. The greatest factor of 4948 is 4948.

4. How to Find the LCM of 4943 and 4948?

Answer:

Least Common Multiple of 4943 and 4948 = 24457964

Step 1: Find the prime factorization of 4943

4943 = 4943

Step 2: Find the prime factorization of 4948

4948 = 2 x 2 x 1237

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

LCM = 24457964 = 2 x 2 x 1237 x 4943

Step 4: Therefore, the least common multiple of 4943 and 4948 is 24457964.