Least Common Multiple of 7939 and 7946

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7939 and 7946 the smallest integer that is 63083294 that is divisible by both numbers.

Least Common Multiple (LCM) of 7939 and 7946 is 63083294.

LCM(7939,7946) = 63083294

LCM of 7939 and 7946

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

LCM of:
and

Least Common Multiple of 7939 and 7946

LCM of 7939 and 7946 is 63083294

Least common multiple can be found by multiplying the highest exponent prime factors of 7939 and 7946. First we will calculate the prime factors of 7939 and 7946.

Prime Factorization of 7939


17 7939
467 467
1

Prime factors of 7939 are 17,467. Prime factorization of 7939 in exponential form is:

7939 = 171×4671

Prime Factorization of 7946


2 7946
29 3973
137 137
1

Prime factors of 7946 are 2, 29,137. Prime factorization of 7946 in exponential form is:

7946 = 21×291×1371

Now multiplying the highest exponent prime factors to calculate the LCM of 7939 and 7946.

LCM(7939,7946) = 21×171×291×1371×4671
LCM(7939,7946) = 63083294

Factors of 7939

List of positive integer factors of 7939 that divides 7939 without a remainder.

1, 17, 467, 7939

Factors of 7946

List of positive integer factors of 7946 that divides 7946 without a remainder.

1, 2, 29, 58, 137, 274, 3973, 7946

Least Common Multiple of 7939 and 7946 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7939 and 7946, than apply into the LCM equation.

GCF(7939,7946) = 1
LCM(7939,7946) = ( 7939 × 7946) / 1
LCM(7939,7946) = 63083294 / 1
LCM(7939,7946) = 63083294

Properties of LCM 7939 and 7946

(i) The LCM of 7946 and 7939 is associative

LCM of 7939 and 7946 = LCM of 7946 and 7939

Related Least Common Multiples of 7939

Related Least Common Multiples of 7946

Frequently Asked Questions on LCM of 7939 and 7946

1. What is the LCM of 7939 and 7946?

Answer: LCM of 7939 and 7946 is 63083294.

2. What are the Factors of 7939?

Answer: Factors of 7939 are 1, 17, 467, 7939. There are 4 integers that are factors of 7939. The greatest factor of 7939 is 7939.

3. What are the Factors of 7946?

Answer: Factors of 7946 are 1, 2, 29, 58, 137, 274, 3973, 7946. There are 8 integers that are factors of 7946. The greatest factor of 7946 is 7946.

4. How to Find the LCM of 7939 and 7946?

Answer:

Least Common Multiple of 7939 and 7946 = 63083294

Step 1: Find the prime factorization of 7939

7939 = 17 x 467

Step 2: Find the prime factorization of 7946

7946 = 2 x 29 x 137

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

LCM = 63083294 = 2 x 17 x 29 x 137 x 467

Step 4: Therefore, the least common multiple of 7939 and 7946 is 63083294.