Least Common Multiple of 7941 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 7941 and 7948 the smallest integer that is 63115068 that is divisible by both numbers.

Least Common Multiple (LCM) of 7941 and 7948 is 63115068.

LCM(7941,7948) = 63115068

LCM of 7941 and 7948

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

LCM of:
and

Least Common Multiple of 7941 and 7948

LCM of 7941 and 7948 is 63115068

Least common multiple can be found by multiplying the highest exponent prime factors of 7941 and 7948. First we will calculate the prime factors of 7941 and 7948.

Prime Factorization of 7941


3 7941
2647 2647
1

Prime factors of 7941 are 3,2647. Prime factorization of 7941 in exponential form is:

7941 = 31×26471

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 7941 and 7948.

LCM(7941,7948) = 22×31×19871×26471
LCM(7941,7948) = 63115068

Factors of 7941

List of positive integer factors of 7941 that divides 7941 without a remainder.

1, 3, 2647, 7941

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 7941 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 7941 and 7948, than apply into the LCM equation.

GCF(7941,7948) = 1
LCM(7941,7948) = ( 7941 × 7948) / 1
LCM(7941,7948) = 63115068 / 1
LCM(7941,7948) = 63115068

Properties of LCM 7941 and 7948

(i) The LCM of 7948 and 7941 is associative

LCM of 7941 and 7948 = LCM of 7948 and 7941

Related Least Common Multiples of 7941

Related Least Common Multiples of 7948

Frequently Asked Questions on LCM of 7941 and 7948

1. What is the LCM of 7941 and 7948?

Answer: LCM of 7941 and 7948 is 63115068.

2. What are the Factors of 7941?

Answer: Factors of 7941 are 1, 3, 2647, 7941. There are 4 integers that are factors of 7941. The greatest factor of 7941 is 7941.

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 7941 and 7948?

Answer:

Least Common Multiple of 7941 and 7948 = 63115068

Step 1: Find the prime factorization of 7941

7941 = 3 x 2647

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 = 63115068 = 2 x 2 x 3 x 1987 x 2647

Step 4: Therefore, the least common multiple of 7941 and 7948 is 63115068.