Least Common Multiple of 4944 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 4944 and 4948 the smallest integer that is 6115728 that is divisible by both numbers.

Least Common Multiple (LCM) of 4944 and 4948 is 6115728.

LCM(4944,4948) = 6115728

LCM of 4944 and 4948

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

LCM of:
and

Least Common Multiple of 4944 and 4948

LCM of 4944 and 4948 is 6115728

Least common multiple can be found by multiplying the highest exponent prime factors of 4944 and 4948. First we will calculate the prime factors of 4944 and 4948.

Prime Factorization of 4944


2 4944
2 2472
2 1236
2 618
3 309
103 103
1

Prime factors of 4944 are 2, 3,103. Prime factorization of 4944 in exponential form is:

4944 = 24×31×1031

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 4944 and 4948.

LCM(4944,4948) = 24×31×1031×12371
LCM(4944,4948) = 6115728

Factors of 4944

List of positive integer factors of 4944 that divides 4944 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 103, 206, 309, 412, 618, 824, 1236, 1648, 2472, 4944

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 4944 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 4944 and 4948, than apply into the LCM equation.

GCF(4944,4948) = 4
LCM(4944,4948) = ( 4944 × 4948) / 4
LCM(4944,4948) = 24462912 / 4
LCM(4944,4948) = 6115728

Properties of LCM 4944 and 4948

(i) The LCM of 4948 and 4944 is associative

LCM of 4944 and 4948 = LCM of 4948 and 4944

Related Least Common Multiples of 4944

Related Least Common Multiples of 4948

Frequently Asked Questions on LCM of 4944 and 4948

1. What is the LCM of 4944 and 4948?

Answer: LCM of 4944 and 4948 is 6115728.

2. What are the Factors of 4944?

Answer: Factors of 4944 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 103, 206, 309, 412, 618, 824, 1236, 1648, 2472, 4944. There are 20 integers that are factors of 4944. The greatest factor of 4944 is 4944.

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 4944 and 4948?

Answer:

Least Common Multiple of 4944 and 4948 = 6115728

Step 1: Find the prime factorization of 4944

4944 = 2 x 2 x 2 x 2 x 3 x 103

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 = 6115728 = 2 x 2 x 2 x 2 x 3 x 103 x 1237

Step 4: Therefore, the least common multiple of 4944 and 4948 is 6115728.