Least Common Multiple of 7944 and 7950

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7944 and 7950 the smallest integer that is 10525800 that is divisible by both numbers.

Least Common Multiple (LCM) of 7944 and 7950 is 10525800.

LCM(7944,7950) = 10525800

LCM of 7944 and 7950

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

LCM of:
and

Least Common Multiple of 7944 and 7950

LCM of 7944 and 7950 is 10525800

Least common multiple can be found by multiplying the highest exponent prime factors of 7944 and 7950. First we will calculate the prime factors of 7944 and 7950.

Prime Factorization of 7944


2 7944
2 3972
2 1986
3 993
331 331
1

Prime factors of 7944 are 2, 3,331. Prime factorization of 7944 in exponential form is:

7944 = 23×31×3311

Prime Factorization of 7950


2 7950
3 3975
5 1325
5 265
53 53
1

Prime factors of 7950 are 2, 3, 5,53. Prime factorization of 7950 in exponential form is:

7950 = 21×31×52×531

Now multiplying the highest exponent prime factors to calculate the LCM of 7944 and 7950.

LCM(7944,7950) = 23×31×52×531×3311
LCM(7944,7950) = 10525800

Factors of 7944

List of positive integer factors of 7944 that divides 7944 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 331, 662, 993, 1324, 1986, 2648, 3972, 7944

Factors of 7950

List of positive integer factors of 7950 that divides 7950 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 53, 75, 106, 150, 159, 265, 318, 530, 795, 1325, 1590, 2650, 3975, 7950

Least Common Multiple of 7944 and 7950 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7944 and 7950, than apply into the LCM equation.

GCF(7944,7950) = 6
LCM(7944,7950) = ( 7944 × 7950) / 6
LCM(7944,7950) = 63154800 / 6
LCM(7944,7950) = 10525800

Properties of LCM 7944 and 7950

(i) The LCM of 7950 and 7944 is associative

LCM of 7944 and 7950 = LCM of 7950 and 7944

Related Least Common Multiples of 7944

Related Least Common Multiples of 7950

Frequently Asked Questions on LCM of 7944 and 7950

1. What is the LCM of 7944 and 7950?

Answer: LCM of 7944 and 7950 is 10525800.

2. What are the Factors of 7944?

Answer: Factors of 7944 are 1, 2, 3, 4, 6, 8, 12, 24, 331, 662, 993, 1324, 1986, 2648, 3972, 7944. There are 16 integers that are factors of 7944. The greatest factor of 7944 is 7944.

3. What are the Factors of 7950?

Answer: Factors of 7950 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 53, 75, 106, 150, 159, 265, 318, 530, 795, 1325, 1590, 2650, 3975, 7950. There are 24 integers that are factors of 7950. The greatest factor of 7950 is 7950.

4. How to Find the LCM of 7944 and 7950?

Answer:

Least Common Multiple of 7944 and 7950 = 10525800

Step 1: Find the prime factorization of 7944

7944 = 2 x 2 x 2 x 3 x 331

Step 2: Find the prime factorization of 7950

7950 = 2 x 3 x 5 x 5 x 53

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

LCM = 10525800 = 2 x 2 x 2 x 3 x 5 x 5 x 53 x 331

Step 4: Therefore, the least common multiple of 7944 and 7950 is 10525800.