Least Common Multiple of 6942 and 6947

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 6947 the smallest integer that is 48226074 that is divisible by both numbers.

Least Common Multiple (LCM) of 6942 and 6947 is 48226074.

LCM(6942,6947) = 48226074

LCM of 6942 and 6947

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

LCM of:
and

Least Common Multiple of 6942 and 6947

LCM of 6942 and 6947 is 48226074

Least common multiple can be found by multiplying the highest exponent prime factors of 6942 and 6947. First we will calculate the prime factors of 6942 and 6947.

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 6947


6947 6947
1

Prime factors of 6947 are 6947. Prime factorization of 6947 in exponential form is:

6947 = 69471

Now multiplying the highest exponent prime factors to calculate the LCM of 6942 and 6947.

LCM(6942,6947) = 21×31×131×891×69471
LCM(6942,6947) = 48226074

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 6947

List of positive integer factors of 6947 that divides 6947 without a remainder.

1, 6947

Least Common Multiple of 6942 and 6947 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 6947, than apply into the LCM equation.

GCF(6942,6947) = 1
LCM(6942,6947) = ( 6942 × 6947) / 1
LCM(6942,6947) = 48226074 / 1
LCM(6942,6947) = 48226074

Properties of LCM 6942 and 6947

(i) The LCM of 6947 and 6942 is associative

LCM of 6942 and 6947 = LCM of 6947 and 6942

Related Least Common Multiples of 6942

Related Least Common Multiples of 6947

Frequently Asked Questions on LCM of 6942 and 6947

1. What is the LCM of 6942 and 6947?

Answer: LCM of 6942 and 6947 is 48226074.

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 6947?

Answer: Factors of 6947 are 1, 6947. There are 2 integers that are factors of 6947. The greatest factor of 6947 is 6947.

4. How to Find the LCM of 6942 and 6947?

Answer:

Least Common Multiple of 6942 and 6947 = 48226074

Step 1: Find the prime factorization of 6942

6942 = 2 x 3 x 13 x 89

Step 2: Find the prime factorization of 6947

6947 = 6947

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

LCM = 48226074 = 2 x 3 x 13 x 89 x 6947

Step 4: Therefore, the least common multiple of 6942 and 6947 is 48226074.