Least Common Multiple of 7942 and 7947

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 7947 the smallest integer that is 63115074 that is divisible by both numbers.

Least Common Multiple (LCM) of 7942 and 7947 is 63115074.

LCM(7942,7947) = 63115074

LCM of 7942 and 7947

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

LCM of:
and

Least Common Multiple of 7942 and 7947

LCM of 7942 and 7947 is 63115074

Least common multiple can be found by multiplying the highest exponent prime factors of 7942 and 7947. First we will calculate the prime factors of 7942 and 7947.

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 7947


3 7947
3 2649
883 883
1

Prime factors of 7947 are 3,883. Prime factorization of 7947 in exponential form is:

7947 = 32×8831

Now multiplying the highest exponent prime factors to calculate the LCM of 7942 and 7947.

LCM(7942,7947) = 21×32×111×192×8831
LCM(7942,7947) = 63115074

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 7947

List of positive integer factors of 7947 that divides 7947 without a remainder.

1, 3, 9, 883, 2649, 7947

Least Common Multiple of 7942 and 7947 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 7947, than apply into the LCM equation.

GCF(7942,7947) = 1
LCM(7942,7947) = ( 7942 × 7947) / 1
LCM(7942,7947) = 63115074 / 1
LCM(7942,7947) = 63115074

Properties of LCM 7942 and 7947

(i) The LCM of 7947 and 7942 is associative

LCM of 7942 and 7947 = LCM of 7947 and 7942

Related Least Common Multiples of 7942

Related Least Common Multiples of 7947

Frequently Asked Questions on LCM of 7942 and 7947

1. What is the LCM of 7942 and 7947?

Answer: LCM of 7942 and 7947 is 63115074.

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 7947?

Answer: Factors of 7947 are 1, 3, 9, 883, 2649, 7947. There are 6 integers that are factors of 7947. The greatest factor of 7947 is 7947.

4. How to Find the LCM of 7942 and 7947?

Answer:

Least Common Multiple of 7942 and 7947 = 63115074

Step 1: Find the prime factorization of 7942

7942 = 2 x 11 x 19 x 19

Step 2: Find the prime factorization of 7947

7947 = 3 x 3 x 883

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

LCM = 63115074 = 2 x 3 x 3 x 11 x 19 x 19 x 883

Step 4: Therefore, the least common multiple of 7942 and 7947 is 63115074.