Least Common Multiple of 7920 and 7924

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7920 and 7924 the smallest integer that is 15689520 that is divisible by both numbers.

Least Common Multiple (LCM) of 7920 and 7924 is 15689520.

LCM(7920,7924) = 15689520

LCM of 7920 and 7924

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

LCM of:
and

Least Common Multiple of 7920 and 7924

LCM of 7920 and 7924 is 15689520

Least common multiple can be found by multiplying the highest exponent prime factors of 7920 and 7924. First we will calculate the prime factors of 7920 and 7924.

Prime Factorization of 7920


2 7920
2 3960
2 1980
2 990
3 495
3 165
5 55
11 11
1

Prime factors of 7920 are 2, 3, 5,11. Prime factorization of 7920 in exponential form is:

7920 = 24×32×51×111

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7920 and 7924.

LCM(7920,7924) = 24×32×51×71×111×2831
LCM(7920,7924) = 15689520

Factors of 7920

List of positive integer factors of 7920 that divides 7920 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 15, 16, 18, 20, 22, 24, 30, 33, 36, 40, 44, 45, 48, 55, 60, 66, 72, 80, 88, 90, 99, 110, 120, 132, 144, 165, 176, 180, 198, 220, 240, 264, 330, 360, 396, 440, 495, 528, 660, 720, 792, 880, 990, 1320, 1584, 1980, 2640, 3960, 7920

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

Least Common Multiple of 7920 and 7924 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7920 and 7924, than apply into the LCM equation.

GCF(7920,7924) = 4
LCM(7920,7924) = ( 7920 × 7924) / 4
LCM(7920,7924) = 62758080 / 4
LCM(7920,7924) = 15689520

Properties of LCM 7920 and 7924

(i) The LCM of 7924 and 7920 is associative

LCM of 7920 and 7924 = LCM of 7924 and 7920

Related Least Common Multiples of 7920

Related Least Common Multiples of 7924

Frequently Asked Questions on LCM of 7920 and 7924

1. What is the LCM of 7920 and 7924?

Answer: LCM of 7920 and 7924 is 15689520.

2. What are the Factors of 7920?

Answer: Factors of 7920 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 15, 16, 18, 20, 22, 24, 30, 33, 36, 40, 44, 45, 48, 55, 60, 66, 72, 80, 88, 90, 99, 110, 120, 132, 144, 165, 176, 180, 198, 220, 240, 264, 330, 360, 396, 440, 495, 528, 660, 720, 792, 880, 990, 1320, 1584, 1980, 2640, 3960, 7920. There are 60 integers that are factors of 7920. The greatest factor of 7920 is 7920.

3. 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.

4. How to Find the LCM of 7920 and 7924?

Answer:

Least Common Multiple of 7920 and 7924 = 15689520

Step 1: Find the prime factorization of 7920

7920 = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 11

Step 2: Find the prime factorization of 7924

7924 = 2 x 2 x 7 x 283

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

LCM = 15689520 = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 7 x 11 x 283

Step 4: Therefore, the least common multiple of 7920 and 7924 is 15689520.