Least Common Multiple of 7932 and 7937

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7932 and 7937 the smallest integer that is 62956284 that is divisible by both numbers.

Least Common Multiple (LCM) of 7932 and 7937 is 62956284.

LCM(7932,7937) = 62956284

LCM of 7932 and 7937

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

LCM of:
and

Least Common Multiple of 7932 and 7937

LCM of 7932 and 7937 is 62956284

Least common multiple can be found by multiplying the highest exponent prime factors of 7932 and 7937. First we will calculate the prime factors of 7932 and 7937.

Prime Factorization of 7932


2 7932
2 3966
3 1983
661 661
1

Prime factors of 7932 are 2, 3,661. Prime factorization of 7932 in exponential form is:

7932 = 22×31×6611

Prime Factorization of 7937


7937 7937
1

Prime factors of 7937 are 7937. Prime factorization of 7937 in exponential form is:

7937 = 79371

Now multiplying the highest exponent prime factors to calculate the LCM of 7932 and 7937.

LCM(7932,7937) = 22×31×6611×79371
LCM(7932,7937) = 62956284

Factors of 7932

List of positive integer factors of 7932 that divides 7932 without a remainder.

1, 2, 3, 4, 6, 12, 661, 1322, 1983, 2644, 3966, 7932

Factors of 7937

List of positive integer factors of 7937 that divides 7937 without a remainder.

1, 7937

Least Common Multiple of 7932 and 7937 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7932 and 7937, than apply into the LCM equation.

GCF(7932,7937) = 1
LCM(7932,7937) = ( 7932 × 7937) / 1
LCM(7932,7937) = 62956284 / 1
LCM(7932,7937) = 62956284

Properties of LCM 7932 and 7937

(i) The LCM of 7937 and 7932 is associative

LCM of 7932 and 7937 = LCM of 7937 and 7932

Related Least Common Multiples of 7932

Related Least Common Multiples of 7937

Frequently Asked Questions on LCM of 7932 and 7937

1. What is the LCM of 7932 and 7937?

Answer: LCM of 7932 and 7937 is 62956284.

2. What are the Factors of 7932?

Answer: Factors of 7932 are 1, 2, 3, 4, 6, 12, 661, 1322, 1983, 2644, 3966, 7932. There are 12 integers that are factors of 7932. The greatest factor of 7932 is 7932.

3. What are the Factors of 7937?

Answer: Factors of 7937 are 1, 7937. There are 2 integers that are factors of 7937. The greatest factor of 7937 is 7937.

4. How to Find the LCM of 7932 and 7937?

Answer:

Least Common Multiple of 7932 and 7937 = 62956284

Step 1: Find the prime factorization of 7932

7932 = 2 x 2 x 3 x 661

Step 2: Find the prime factorization of 7937

7937 = 7937

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

LCM = 62956284 = 2 x 2 x 3 x 661 x 7937

Step 4: Therefore, the least common multiple of 7932 and 7937 is 62956284.