Least Common Multiple of 7924 and 7929

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7924 and 7929 the smallest integer that is 62829396 that is divisible by both numbers.

Least Common Multiple (LCM) of 7924 and 7929 is 62829396.

LCM(7924,7929) = 62829396

LCM of 7924 and 7929

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

LCM of:
and

Least Common Multiple of 7924 and 7929

LCM of 7924 and 7929 is 62829396

Least common multiple can be found by multiplying the highest exponent prime factors of 7924 and 7929. First we will calculate the prime factors of 7924 and 7929.

Prime Factorization of 7924


2 7924
2 3962
7 1981
283 283
1

Prime factors of 7924 are 2, 7,283. Prime factorization of 7924 in exponential form is:

7924 = 22×71×2831

Prime Factorization of 7929


3 7929
3 2643
881 881
1

Prime factors of 7929 are 3,881. Prime factorization of 7929 in exponential form is:

7929 = 32×8811

Now multiplying the highest exponent prime factors to calculate the LCM of 7924 and 7929.

LCM(7924,7929) = 22×32×71×2831×8811
LCM(7924,7929) = 62829396

Factors of 7924

List of positive integer factors of 7924 that divides 7924 without a remainder.

1, 2, 4, 7, 14, 28, 283, 566, 1132, 1981, 3962, 7924

Factors of 7929

List of positive integer factors of 7929 that divides 7929 without a remainder.

1, 3, 9, 881, 2643, 7929

Least Common Multiple of 7924 and 7929 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7924 and 7929, than apply into the LCM equation.

GCF(7924,7929) = 1
LCM(7924,7929) = ( 7924 × 7929) / 1
LCM(7924,7929) = 62829396 / 1
LCM(7924,7929) = 62829396

Properties of LCM 7924 and 7929

(i) The LCM of 7929 and 7924 is associative

LCM of 7924 and 7929 = LCM of 7929 and 7924

Related Least Common Multiples of 7924

Related Least Common Multiples of 7929

Frequently Asked Questions on LCM of 7924 and 7929

1. What is the LCM of 7924 and 7929?

Answer: LCM of 7924 and 7929 is 62829396.

2. What are the Factors of 7924?

Answer: Factors of 7924 are 1, 2, 4, 7, 14, 28, 283, 566, 1132, 1981, 3962, 7924. There are 12 integers that are factors of 7924. The greatest factor of 7924 is 7924.

3. What are the Factors of 7929?

Answer: Factors of 7929 are 1, 3, 9, 881, 2643, 7929. There are 6 integers that are factors of 7929. The greatest factor of 7929 is 7929.

4. How to Find the LCM of 7924 and 7929?

Answer:

Least Common Multiple of 7924 and 7929 = 62829396

Step 1: Find the prime factorization of 7924

7924 = 2 x 2 x 7 x 283

Step 2: Find the prime factorization of 7929

7929 = 3 x 3 x 881

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

LCM = 62829396 = 2 x 2 x 3 x 3 x 7 x 283 x 881

Step 4: Therefore, the least common multiple of 7924 and 7929 is 62829396.