Least Common Multiple of 6941 and 6948

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6941 and 6948 the smallest integer that is 48226068 that is divisible by both numbers.

Least Common Multiple (LCM) of 6941 and 6948 is 48226068.

LCM(6941,6948) = 48226068

LCM of 6941 and 6948

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

LCM of:
and

Least Common Multiple of 6941 and 6948

LCM of 6941 and 6948 is 48226068

Least common multiple can be found by multiplying the highest exponent prime factors of 6941 and 6948. First we will calculate the prime factors of 6941 and 6948.

Prime Factorization of 6941


11 6941
631 631
1

Prime factors of 6941 are 11,631. Prime factorization of 6941 in exponential form is:

6941 = 111×6311

Prime Factorization of 6948


2 6948
2 3474
3 1737
3 579
193 193
1

Prime factors of 6948 are 2, 3,193. Prime factorization of 6948 in exponential form is:

6948 = 22×32×1931

Now multiplying the highest exponent prime factors to calculate the LCM of 6941 and 6948.

LCM(6941,6948) = 22×32×111×1931×6311
LCM(6941,6948) = 48226068

Factors of 6941

List of positive integer factors of 6941 that divides 6941 without a remainder.

1, 11, 631, 6941

Factors of 6948

List of positive integer factors of 6948 that divides 6948 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 193, 386, 579, 772, 1158, 1737, 2316, 3474, 6948

Least Common Multiple of 6941 and 6948 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6941 and 6948, than apply into the LCM equation.

GCF(6941,6948) = 1
LCM(6941,6948) = ( 6941 × 6948) / 1
LCM(6941,6948) = 48226068 / 1
LCM(6941,6948) = 48226068

Properties of LCM 6941 and 6948

(i) The LCM of 6948 and 6941 is associative

LCM of 6941 and 6948 = LCM of 6948 and 6941

Related Least Common Multiples of 6941

Related Least Common Multiples of 6948

Frequently Asked Questions on LCM of 6941 and 6948

1. What is the LCM of 6941 and 6948?

Answer: LCM of 6941 and 6948 is 48226068.

2. What are the Factors of 6941?

Answer: Factors of 6941 are 1, 11, 631, 6941. There are 4 integers that are factors of 6941. The greatest factor of 6941 is 6941.

3. What are the Factors of 6948?

Answer: Factors of 6948 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 193, 386, 579, 772, 1158, 1737, 2316, 3474, 6948. There are 18 integers that are factors of 6948. The greatest factor of 6948 is 6948.

4. How to Find the LCM of 6941 and 6948?

Answer:

Least Common Multiple of 6941 and 6948 = 48226068

Step 1: Find the prime factorization of 6941

6941 = 11 x 631

Step 2: Find the prime factorization of 6948

6948 = 2 x 2 x 3 x 3 x 193

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

LCM = 48226068 = 2 x 2 x 3 x 3 x 11 x 193 x 631

Step 4: Therefore, the least common multiple of 6941 and 6948 is 48226068.