Least Common Multiple of 7920 and 7928

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 7928 the smallest integer that is 7848720 that is divisible by both numbers.

Least Common Multiple (LCM) of 7920 and 7928 is 7848720.

LCM(7920,7928) = 7848720

LCM of 7920 and 7928

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

LCM of:
and

Least Common Multiple of 7920 and 7928

LCM of 7920 and 7928 is 7848720

Least common multiple can be found by multiplying the highest exponent prime factors of 7920 and 7928. First we will calculate the prime factors of 7920 and 7928.

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 7928


2 7928
2 3964
2 1982
991 991
1

Prime factors of 7928 are 2,991. Prime factorization of 7928 in exponential form is:

7928 = 23×9911

Now multiplying the highest exponent prime factors to calculate the LCM of 7920 and 7928.

LCM(7920,7928) = 24×32×51×111×9911
LCM(7920,7928) = 7848720

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 7928

List of positive integer factors of 7928 that divides 7928 without a remainder.

1, 2, 4, 8, 991, 1982, 3964, 7928

Least Common Multiple of 7920 and 7928 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 7928, than apply into the LCM equation.

GCF(7920,7928) = 8
LCM(7920,7928) = ( 7920 × 7928) / 8
LCM(7920,7928) = 62789760 / 8
LCM(7920,7928) = 7848720

Properties of LCM 7920 and 7928

(i) The LCM of 7928 and 7920 is associative

LCM of 7920 and 7928 = LCM of 7928 and 7920

Related Least Common Multiples of 7920

Related Least Common Multiples of 7928

Frequently Asked Questions on LCM of 7920 and 7928

1. What is the LCM of 7920 and 7928?

Answer: LCM of 7920 and 7928 is 7848720.

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 7928?

Answer: Factors of 7928 are 1, 2, 4, 8, 991, 1982, 3964, 7928. There are 8 integers that are factors of 7928. The greatest factor of 7928 is 7928.

4. How to Find the LCM of 7920 and 7928?

Answer:

Least Common Multiple of 7920 and 7928 = 7848720

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 7928

7928 = 2 x 2 x 2 x 991

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

LCM = 7848720 = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 11 x 991

Step 4: Therefore, the least common multiple of 7920 and 7928 is 7848720.