Least Common Multiple of 7944 and 7948

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 7948 the smallest integer that is 15784728 that is divisible by both numbers.

Least Common Multiple (LCM) of 7944 and 7948 is 15784728.

LCM(7944,7948) = 15784728

LCM of 7944 and 7948

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

LCM of:
and

Least Common Multiple of 7944 and 7948

LCM of 7944 and 7948 is 15784728

Least common multiple can be found by multiplying the highest exponent prime factors of 7944 and 7948. First we will calculate the prime factors of 7944 and 7948.

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 7948


2 7948
2 3974
1987 1987
1

Prime factors of 7948 are 2,1987. Prime factorization of 7948 in exponential form is:

7948 = 22×19871

Now multiplying the highest exponent prime factors to calculate the LCM of 7944 and 7948.

LCM(7944,7948) = 23×31×3311×19871
LCM(7944,7948) = 15784728

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 7948

List of positive integer factors of 7948 that divides 7948 without a remainder.

1, 2, 4, 1987, 3974, 7948

Least Common Multiple of 7944 and 7948 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 7948, than apply into the LCM equation.

GCF(7944,7948) = 4
LCM(7944,7948) = ( 7944 × 7948) / 4
LCM(7944,7948) = 63138912 / 4
LCM(7944,7948) = 15784728

Properties of LCM 7944 and 7948

(i) The LCM of 7948 and 7944 is associative

LCM of 7944 and 7948 = LCM of 7948 and 7944

Related Least Common Multiples of 7944

Related Least Common Multiples of 7948

Frequently Asked Questions on LCM of 7944 and 7948

1. What is the LCM of 7944 and 7948?

Answer: LCM of 7944 and 7948 is 15784728.

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 7948?

Answer: Factors of 7948 are 1, 2, 4, 1987, 3974, 7948. There are 6 integers that are factors of 7948. The greatest factor of 7948 is 7948.

4. How to Find the LCM of 7944 and 7948?

Answer:

Least Common Multiple of 7944 and 7948 = 15784728

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 7948

7948 = 2 x 2 x 1987

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

LCM = 15784728 = 2 x 2 x 2 x 3 x 331 x 1987

Step 4: Therefore, the least common multiple of 7944 and 7948 is 15784728.