Least Common Multiple of 6932 and 6939

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6932 and 6939 the smallest integer that is 48101148 that is divisible by both numbers.

Least Common Multiple (LCM) of 6932 and 6939 is 48101148.

LCM(6932,6939) = 48101148

LCM of 6932 and 6939

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

LCM of:
and

Least Common Multiple of 6932 and 6939

LCM of 6932 and 6939 is 48101148

Least common multiple can be found by multiplying the highest exponent prime factors of 6932 and 6939. First we will calculate the prime factors of 6932 and 6939.

Prime Factorization of 6932


2 6932
2 3466
1733 1733
1

Prime factors of 6932 are 2,1733. Prime factorization of 6932 in exponential form is:

6932 = 22×17331

Prime Factorization of 6939


3 6939
3 2313
3 771
257 257
1

Prime factors of 6939 are 3,257. Prime factorization of 6939 in exponential form is:

6939 = 33×2571

Now multiplying the highest exponent prime factors to calculate the LCM of 6932 and 6939.

LCM(6932,6939) = 22×33×2571×17331
LCM(6932,6939) = 48101148

Factors of 6932

List of positive integer factors of 6932 that divides 6932 without a remainder.

1, 2, 4, 1733, 3466, 6932

Factors of 6939

List of positive integer factors of 6939 that divides 6939 without a remainder.

1, 3, 9, 27, 257, 771, 2313, 6939

Least Common Multiple of 6932 and 6939 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6932 and 6939, than apply into the LCM equation.

GCF(6932,6939) = 1
LCM(6932,6939) = ( 6932 × 6939) / 1
LCM(6932,6939) = 48101148 / 1
LCM(6932,6939) = 48101148

Properties of LCM 6932 and 6939

(i) The LCM of 6939 and 6932 is associative

LCM of 6932 and 6939 = LCM of 6939 and 6932

Related Least Common Multiples of 6932

Related Least Common Multiples of 6939

Frequently Asked Questions on LCM of 6932 and 6939

1. What is the LCM of 6932 and 6939?

Answer: LCM of 6932 and 6939 is 48101148.

2. What are the Factors of 6932?

Answer: Factors of 6932 are 1, 2, 4, 1733, 3466, 6932. There are 6 integers that are factors of 6932. The greatest factor of 6932 is 6932.

3. What are the Factors of 6939?

Answer: Factors of 6939 are 1, 3, 9, 27, 257, 771, 2313, 6939. There are 8 integers that are factors of 6939. The greatest factor of 6939 is 6939.

4. How to Find the LCM of 6932 and 6939?

Answer:

Least Common Multiple of 6932 and 6939 = 48101148

Step 1: Find the prime factorization of 6932

6932 = 2 x 2 x 1733

Step 2: Find the prime factorization of 6939

6939 = 3 x 3 x 3 x 257

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

LCM = 48101148 = 2 x 2 x 3 x 3 x 3 x 257 x 1733

Step 4: Therefore, the least common multiple of 6932 and 6939 is 48101148.