Least Common Multiple of 6938 and 6946

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6938 and 6946 the smallest integer that is 24095674 that is divisible by both numbers.

Least Common Multiple (LCM) of 6938 and 6946 is 24095674.

LCM(6938,6946) = 24095674

LCM of 6938 and 6946

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

LCM of:
and

Least Common Multiple of 6938 and 6946

LCM of 6938 and 6946 is 24095674

Least common multiple can be found by multiplying the highest exponent prime factors of 6938 and 6946. First we will calculate the prime factors of 6938 and 6946.

Prime Factorization of 6938


2 6938
3469 3469
1

Prime factors of 6938 are 2,3469. Prime factorization of 6938 in exponential form is:

6938 = 21×34691

Prime Factorization of 6946


2 6946
23 3473
151 151
1

Prime factors of 6946 are 2, 23,151. Prime factorization of 6946 in exponential form is:

6946 = 21×231×1511

Now multiplying the highest exponent prime factors to calculate the LCM of 6938 and 6946.

LCM(6938,6946) = 21×231×1511×34691
LCM(6938,6946) = 24095674

Factors of 6938

List of positive integer factors of 6938 that divides 6938 without a remainder.

1, 2, 3469, 6938

Factors of 6946

List of positive integer factors of 6946 that divides 6946 without a remainder.

1, 2, 23, 46, 151, 302, 3473, 6946

Least Common Multiple of 6938 and 6946 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6938 and 6946, than apply into the LCM equation.

GCF(6938,6946) = 2
LCM(6938,6946) = ( 6938 × 6946) / 2
LCM(6938,6946) = 48191348 / 2
LCM(6938,6946) = 24095674

Properties of LCM 6938 and 6946

(i) The LCM of 6946 and 6938 is associative

LCM of 6938 and 6946 = LCM of 6946 and 6938

Related Least Common Multiples of 6938

Related Least Common Multiples of 6946

Frequently Asked Questions on LCM of 6938 and 6946

1. What is the LCM of 6938 and 6946?

Answer: LCM of 6938 and 6946 is 24095674.

2. What are the Factors of 6938?

Answer: Factors of 6938 are 1, 2, 3469, 6938. There are 4 integers that are factors of 6938. The greatest factor of 6938 is 6938.

3. What are the Factors of 6946?

Answer: Factors of 6946 are 1, 2, 23, 46, 151, 302, 3473, 6946. There are 8 integers that are factors of 6946. The greatest factor of 6946 is 6946.

4. How to Find the LCM of 6938 and 6946?

Answer:

Least Common Multiple of 6938 and 6946 = 24095674

Step 1: Find the prime factorization of 6938

6938 = 2 x 3469

Step 2: Find the prime factorization of 6946

6946 = 2 x 23 x 151

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

LCM = 24095674 = 2 x 23 x 151 x 3469

Step 4: Therefore, the least common multiple of 6938 and 6946 is 24095674.