Least Common Multiple of 7933 and 7940

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7933 and 7940 the smallest integer that is 62988020 that is divisible by both numbers.

Least Common Multiple (LCM) of 7933 and 7940 is 62988020.

LCM(7933,7940) = 62988020

LCM of 7933 and 7940

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

LCM of:
and

Least Common Multiple of 7933 and 7940

LCM of 7933 and 7940 is 62988020

Least common multiple can be found by multiplying the highest exponent prime factors of 7933 and 7940. First we will calculate the prime factors of 7933 and 7940.

Prime Factorization of 7933


7933 7933
1

Prime factors of 7933 are 7933. Prime factorization of 7933 in exponential form is:

7933 = 79331

Prime Factorization of 7940


2 7940
2 3970
5 1985
397 397
1

Prime factors of 7940 are 2, 5,397. Prime factorization of 7940 in exponential form is:

7940 = 22×51×3971

Now multiplying the highest exponent prime factors to calculate the LCM of 7933 and 7940.

LCM(7933,7940) = 22×51×3971×79331
LCM(7933,7940) = 62988020

Factors of 7933

List of positive integer factors of 7933 that divides 7933 without a remainder.

1, 7933

Factors of 7940

List of positive integer factors of 7940 that divides 7940 without a remainder.

1, 2, 4, 5, 10, 20, 397, 794, 1588, 1985, 3970, 7940

Least Common Multiple of 7933 and 7940 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7933 and 7940, than apply into the LCM equation.

GCF(7933,7940) = 1
LCM(7933,7940) = ( 7933 × 7940) / 1
LCM(7933,7940) = 62988020 / 1
LCM(7933,7940) = 62988020

Properties of LCM 7933 and 7940

(i) The LCM of 7940 and 7933 is associative

LCM of 7933 and 7940 = LCM of 7940 and 7933

Related Least Common Multiples of 7933

Related Least Common Multiples of 7940

Frequently Asked Questions on LCM of 7933 and 7940

1. What is the LCM of 7933 and 7940?

Answer: LCM of 7933 and 7940 is 62988020.

2. What are the Factors of 7933?

Answer: Factors of 7933 are 1, 7933. There are 2 integers that are factors of 7933. The greatest factor of 7933 is 7933.

3. What are the Factors of 7940?

Answer: Factors of 7940 are 1, 2, 4, 5, 10, 20, 397, 794, 1588, 1985, 3970, 7940. There are 12 integers that are factors of 7940. The greatest factor of 7940 is 7940.

4. How to Find the LCM of 7933 and 7940?

Answer:

Least Common Multiple of 7933 and 7940 = 62988020

Step 1: Find the prime factorization of 7933

7933 = 7933

Step 2: Find the prime factorization of 7940

7940 = 2 x 2 x 5 x 397

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

LCM = 62988020 = 2 x 2 x 5 x 397 x 7933

Step 4: Therefore, the least common multiple of 7933 and 7940 is 62988020.