Least Common Multiple of 7942 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 7942 and 7946 the smallest integer that is 31553566 that is divisible by both numbers.

Least Common Multiple (LCM) of 7942 and 7946 is 31553566.

LCM(7942,7946) = 31553566

LCM of 7942 and 7946

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

LCM of:
and

Least Common Multiple of 7942 and 7946

LCM of 7942 and 7946 is 31553566

Least common multiple can be found by multiplying the highest exponent prime factors of 7942 and 7946. First we will calculate the prime factors of 7942 and 7946.

Prime Factorization of 7942


2 7942
11 3971
19 361
19 19
1

Prime factors of 7942 are 2, 11,19. Prime factorization of 7942 in exponential form is:

7942 = 21×111×192

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 7942 and 7946.

LCM(7942,7946) = 21×111×192×291×1371
LCM(7942,7946) = 31553566

Factors of 7942

List of positive integer factors of 7942 that divides 7942 without a remainder.

1, 2, 11, 19, 22, 38, 209, 361, 418, 722, 3971, 7942

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 7942 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 7942 and 7946, than apply into the LCM equation.

GCF(7942,7946) = 2
LCM(7942,7946) = ( 7942 × 7946) / 2
LCM(7942,7946) = 63107132 / 2
LCM(7942,7946) = 31553566

Properties of LCM 7942 and 7946

(i) The LCM of 7946 and 7942 is associative

LCM of 7942 and 7946 = LCM of 7946 and 7942

Related Least Common Multiples of 7942

Related Least Common Multiples of 7946

Frequently Asked Questions on LCM of 7942 and 7946

1. What is the LCM of 7942 and 7946?

Answer: LCM of 7942 and 7946 is 31553566.

2. What are the Factors of 7942?

Answer: Factors of 7942 are 1, 2, 11, 19, 22, 38, 209, 361, 418, 722, 3971, 7942. There are 12 integers that are factors of 7942. The greatest factor of 7942 is 7942.

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 7942 and 7946?

Answer:

Least Common Multiple of 7942 and 7946 = 31553566

Step 1: Find the prime factorization of 7942

7942 = 2 x 11 x 19 x 19

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 = 31553566 = 2 x 11 x 19 x 19 x 29 x 137

Step 4: Therefore, the least common multiple of 7942 and 7946 is 31553566.