Least Common Multiple of 6947 and 6954

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6947 and 6954 the smallest integer that is 48309438 that is divisible by both numbers.

Least Common Multiple (LCM) of 6947 and 6954 is 48309438.

LCM(6947,6954) = 48309438

LCM of 6947 and 6954

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

LCM of:
and

Least Common Multiple of 6947 and 6954

LCM of 6947 and 6954 is 48309438

Least common multiple can be found by multiplying the highest exponent prime factors of 6947 and 6954. First we will calculate the prime factors of 6947 and 6954.

Prime Factorization of 6947


6947 6947
1

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

6947 = 69471

Prime Factorization of 6954


2 6954
3 3477
19 1159
61 61
1

Prime factors of 6954 are 2, 3, 19,61. Prime factorization of 6954 in exponential form is:

6954 = 21×31×191×611

Now multiplying the highest exponent prime factors to calculate the LCM of 6947 and 6954.

LCM(6947,6954) = 21×31×191×611×69471
LCM(6947,6954) = 48309438

Factors of 6947

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

1, 6947

Factors of 6954

List of positive integer factors of 6954 that divides 6954 without a remainder.

1, 2, 3, 6, 19, 38, 57, 61, 114, 122, 183, 366, 1159, 2318, 3477, 6954

Least Common Multiple of 6947 and 6954 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6947 and 6954, than apply into the LCM equation.

GCF(6947,6954) = 1
LCM(6947,6954) = ( 6947 × 6954) / 1
LCM(6947,6954) = 48309438 / 1
LCM(6947,6954) = 48309438

Properties of LCM 6947 and 6954

(i) The LCM of 6954 and 6947 is associative

LCM of 6947 and 6954 = LCM of 6954 and 6947

Related Least Common Multiples of 6947

Related Least Common Multiples of 6954

Frequently Asked Questions on LCM of 6947 and 6954

1. What is the LCM of 6947 and 6954?

Answer: LCM of 6947 and 6954 is 48309438.

2. 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.

3. What are the Factors of 6954?

Answer: Factors of 6954 are 1, 2, 3, 6, 19, 38, 57, 61, 114, 122, 183, 366, 1159, 2318, 3477, 6954. There are 16 integers that are factors of 6954. The greatest factor of 6954 is 6954.

4. How to Find the LCM of 6947 and 6954?

Answer:

Least Common Multiple of 6947 and 6954 = 48309438

Step 1: Find the prime factorization of 6947

6947 = 6947

Step 2: Find the prime factorization of 6954

6954 = 2 x 3 x 19 x 61

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

LCM = 48309438 = 2 x 3 x 19 x 61 x 6947

Step 4: Therefore, the least common multiple of 6947 and 6954 is 48309438.