Least Common Multiple of 4944 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 4944 and 4950 the smallest integer that is 4078800 that is divisible by both numbers.

Least Common Multiple (LCM) of 4944 and 4950 is 4078800.

LCM(4944,4950) = 4078800

LCM of 4944 and 4950

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

LCM of:
and

Least Common Multiple of 4944 and 4950

LCM of 4944 and 4950 is 4078800

Least common multiple can be found by multiplying the highest exponent prime factors of 4944 and 4950. First we will calculate the prime factors of 4944 and 4950.

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 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 4944 and 4950.

LCM(4944,4950) = 24×32×52×111×1031
LCM(4944,4950) = 4078800

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 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 4944 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 4944 and 4950, than apply into the LCM equation.

GCF(4944,4950) = 6
LCM(4944,4950) = ( 4944 × 4950) / 6
LCM(4944,4950) = 24472800 / 6
LCM(4944,4950) = 4078800

Properties of LCM 4944 and 4950

(i) The LCM of 4950 and 4944 is associative

LCM of 4944 and 4950 = LCM of 4950 and 4944

Related Least Common Multiples of 4944

Related Least Common Multiples of 4950

Frequently Asked Questions on LCM of 4944 and 4950

1. What is the LCM of 4944 and 4950?

Answer: LCM of 4944 and 4950 is 4078800.

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 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 4944 and 4950?

Answer:

Least Common Multiple of 4944 and 4950 = 4078800

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 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 = 4078800 = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 5 x 11 x 103

Step 4: Therefore, the least common multiple of 4944 and 4950 is 4078800.