Least Common Multiple of 7920 and 7923

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 7923 the smallest integer that is 20916720 that is divisible by both numbers.

Least Common Multiple (LCM) of 7920 and 7923 is 20916720.

LCM(7920,7923) = 20916720

LCM of 7920 and 7923

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

LCM of:
and

Least Common Multiple of 7920 and 7923

LCM of 7920 and 7923 is 20916720

Least common multiple can be found by multiplying the highest exponent prime factors of 7920 and 7923. First we will calculate the prime factors of 7920 and 7923.

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 7923


3 7923
19 2641
139 139
1

Prime factors of 7923 are 3, 19,139. Prime factorization of 7923 in exponential form is:

7923 = 31×191×1391

Now multiplying the highest exponent prime factors to calculate the LCM of 7920 and 7923.

LCM(7920,7923) = 24×32×51×111×191×1391
LCM(7920,7923) = 20916720

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 7923

List of positive integer factors of 7923 that divides 7923 without a remainder.

1, 3, 19, 57, 139, 417, 2641, 7923

Least Common Multiple of 7920 and 7923 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 7923, than apply into the LCM equation.

GCF(7920,7923) = 3
LCM(7920,7923) = ( 7920 × 7923) / 3
LCM(7920,7923) = 62750160 / 3
LCM(7920,7923) = 20916720

Properties of LCM 7920 and 7923

(i) The LCM of 7923 and 7920 is associative

LCM of 7920 and 7923 = LCM of 7923 and 7920

Related Least Common Multiples of 7920

Related Least Common Multiples of 7923

Frequently Asked Questions on LCM of 7920 and 7923

1. What is the LCM of 7920 and 7923?

Answer: LCM of 7920 and 7923 is 20916720.

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 7923?

Answer: Factors of 7923 are 1, 3, 19, 57, 139, 417, 2641, 7923. There are 8 integers that are factors of 7923. The greatest factor of 7923 is 7923.

4. How to Find the LCM of 7920 and 7923?

Answer:

Least Common Multiple of 7920 and 7923 = 20916720

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 7923

7923 = 3 x 19 x 139

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

LCM = 20916720 = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 11 x 19 x 139

Step 4: Therefore, the least common multiple of 7920 and 7923 is 20916720.