Least Common Multiple of 6942 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 6942 and 6948 the smallest integer that is 8038836 that is divisible by both numbers.

Least Common Multiple (LCM) of 6942 and 6948 is 8038836.

LCM(6942,6948) = 8038836

LCM of 6942 and 6948

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

LCM of:
and

Least Common Multiple of 6942 and 6948

LCM of 6942 and 6948 is 8038836

Least common multiple can be found by multiplying the highest exponent prime factors of 6942 and 6948. First we will calculate the prime factors of 6942 and 6948.

Prime Factorization of 6942


2 6942
3 3471
13 1157
89 89
1

Prime factors of 6942 are 2, 3, 13,89. Prime factorization of 6942 in exponential form is:

6942 = 21×31×131×891

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 6942 and 6948.

LCM(6942,6948) = 22×32×131×891×1931
LCM(6942,6948) = 8038836

Factors of 6942

List of positive integer factors of 6942 that divides 6942 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 89, 178, 267, 534, 1157, 2314, 3471, 6942

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 6942 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 6942 and 6948, than apply into the LCM equation.

GCF(6942,6948) = 6
LCM(6942,6948) = ( 6942 × 6948) / 6
LCM(6942,6948) = 48233016 / 6
LCM(6942,6948) = 8038836

Properties of LCM 6942 and 6948

(i) The LCM of 6948 and 6942 is associative

LCM of 6942 and 6948 = LCM of 6948 and 6942

Related Least Common Multiples of 6942

Related Least Common Multiples of 6948

Frequently Asked Questions on LCM of 6942 and 6948

1. What is the LCM of 6942 and 6948?

Answer: LCM of 6942 and 6948 is 8038836.

2. What are the Factors of 6942?

Answer: Factors of 6942 are 1, 2, 3, 6, 13, 26, 39, 78, 89, 178, 267, 534, 1157, 2314, 3471, 6942. There are 16 integers that are factors of 6942. The greatest factor of 6942 is 6942.

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 6942 and 6948?

Answer:

Least Common Multiple of 6942 and 6948 = 8038836

Step 1: Find the prime factorization of 6942

6942 = 2 x 3 x 13 x 89

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 = 8038836 = 2 x 2 x 3 x 3 x 13 x 89 x 193

Step 4: Therefore, the least common multiple of 6942 and 6948 is 8038836.