Least Common Multiple of 6940 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 6940 and 6948 the smallest integer that is 12054780 that is divisible by both numbers.

Least Common Multiple (LCM) of 6940 and 6948 is 12054780.

LCM(6940,6948) = 12054780

LCM of 6940 and 6948

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

LCM of:
and

Least Common Multiple of 6940 and 6948

LCM of 6940 and 6948 is 12054780

Least common multiple can be found by multiplying the highest exponent prime factors of 6940 and 6948. First we will calculate the prime factors of 6940 and 6948.

Prime Factorization of 6940


2 6940
2 3470
5 1735
347 347
1

Prime factors of 6940 are 2, 5,347. Prime factorization of 6940 in exponential form is:

6940 = 22×51×3471

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 6940 and 6948.

LCM(6940,6948) = 22×32×51×1931×3471
LCM(6940,6948) = 12054780

Factors of 6940

List of positive integer factors of 6940 that divides 6940 without a remainder.

1, 2, 4, 5, 10, 20, 347, 694, 1388, 1735, 3470, 6940

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 6940 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 6940 and 6948, than apply into the LCM equation.

GCF(6940,6948) = 4
LCM(6940,6948) = ( 6940 × 6948) / 4
LCM(6940,6948) = 48219120 / 4
LCM(6940,6948) = 12054780

Properties of LCM 6940 and 6948

(i) The LCM of 6948 and 6940 is associative

LCM of 6940 and 6948 = LCM of 6948 and 6940

Related Least Common Multiples of 6940

Related Least Common Multiples of 6948

Frequently Asked Questions on LCM of 6940 and 6948

1. What is the LCM of 6940 and 6948?

Answer: LCM of 6940 and 6948 is 12054780.

2. What are the Factors of 6940?

Answer: Factors of 6940 are 1, 2, 4, 5, 10, 20, 347, 694, 1388, 1735, 3470, 6940. There are 12 integers that are factors of 6940. The greatest factor of 6940 is 6940.

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 6940 and 6948?

Answer:

Least Common Multiple of 6940 and 6948 = 12054780

Step 1: Find the prime factorization of 6940

6940 = 2 x 2 x 5 x 347

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 = 12054780 = 2 x 2 x 3 x 3 x 5 x 193 x 347

Step 4: Therefore, the least common multiple of 6940 and 6948 is 12054780.