Least Common Multiple of 4936 and 4944

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4936 and 4944 the smallest integer that is 3050448 that is divisible by both numbers.

Least Common Multiple (LCM) of 4936 and 4944 is 3050448.

LCM(4936,4944) = 3050448

LCM of 4936 and 4944

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

LCM of:
and

Least Common Multiple of 4936 and 4944

LCM of 4936 and 4944 is 3050448

Least common multiple can be found by multiplying the highest exponent prime factors of 4936 and 4944. First we will calculate the prime factors of 4936 and 4944.

Prime Factorization of 4936


2 4936
2 2468
2 1234
617 617
1

Prime factors of 4936 are 2,617. Prime factorization of 4936 in exponential form is:

4936 = 23×6171

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4936 and 4944.

LCM(4936,4944) = 24×31×1031×6171
LCM(4936,4944) = 3050448

Factors of 4936

List of positive integer factors of 4936 that divides 4936 without a remainder.

1, 2, 4, 8, 617, 1234, 2468, 4936

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

Least Common Multiple of 4936 and 4944 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4936 and 4944, than apply into the LCM equation.

GCF(4936,4944) = 8
LCM(4936,4944) = ( 4936 × 4944) / 8
LCM(4936,4944) = 24403584 / 8
LCM(4936,4944) = 3050448

Properties of LCM 4936 and 4944

(i) The LCM of 4944 and 4936 is associative

LCM of 4936 and 4944 = LCM of 4944 and 4936

Related Least Common Multiples of 4936

Related Least Common Multiples of 4944

Frequently Asked Questions on LCM of 4936 and 4944

1. What is the LCM of 4936 and 4944?

Answer: LCM of 4936 and 4944 is 3050448.

2. What are the Factors of 4936?

Answer: Factors of 4936 are 1, 2, 4, 8, 617, 1234, 2468, 4936. There are 8 integers that are factors of 4936. The greatest factor of 4936 is 4936.

3. 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.

4. How to Find the LCM of 4936 and 4944?

Answer:

Least Common Multiple of 4936 and 4944 = 3050448

Step 1: Find the prime factorization of 4936

4936 = 2 x 2 x 2 x 617

Step 2: Find the prime factorization of 4944

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

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

LCM = 3050448 = 2 x 2 x 2 x 2 x 3 x 103 x 617

Step 4: Therefore, the least common multiple of 4936 and 4944 is 3050448.