Least Common Multiple of 7920 and 7926

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 7926 the smallest integer that is 10462320 that is divisible by both numbers.

Least Common Multiple (LCM) of 7920 and 7926 is 10462320.

LCM(7920,7926) = 10462320

LCM of 7920 and 7926

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

LCM of:
and

Least Common Multiple of 7920 and 7926

LCM of 7920 and 7926 is 10462320

Least common multiple can be found by multiplying the highest exponent prime factors of 7920 and 7926. First we will calculate the prime factors of 7920 and 7926.

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 7926


2 7926
3 3963
1321 1321
1

Prime factors of 7926 are 2, 3,1321. Prime factorization of 7926 in exponential form is:

7926 = 21×31×13211

Now multiplying the highest exponent prime factors to calculate the LCM of 7920 and 7926.

LCM(7920,7926) = 24×32×51×111×13211
LCM(7920,7926) = 10462320

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 7926

List of positive integer factors of 7926 that divides 7926 without a remainder.

1, 2, 3, 6, 1321, 2642, 3963, 7926

Least Common Multiple of 7920 and 7926 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 7926, than apply into the LCM equation.

GCF(7920,7926) = 6
LCM(7920,7926) = ( 7920 × 7926) / 6
LCM(7920,7926) = 62773920 / 6
LCM(7920,7926) = 10462320

Properties of LCM 7920 and 7926

(i) The LCM of 7926 and 7920 is associative

LCM of 7920 and 7926 = LCM of 7926 and 7920

Related Least Common Multiples of 7920

Related Least Common Multiples of 7926

Frequently Asked Questions on LCM of 7920 and 7926

1. What is the LCM of 7920 and 7926?

Answer: LCM of 7920 and 7926 is 10462320.

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 7926?

Answer: Factors of 7926 are 1, 2, 3, 6, 1321, 2642, 3963, 7926. There are 8 integers that are factors of 7926. The greatest factor of 7926 is 7926.

4. How to Find the LCM of 7920 and 7926?

Answer:

Least Common Multiple of 7920 and 7926 = 10462320

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 7926

7926 = 2 x 3 x 1321

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

LCM = 10462320 = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 11 x 1321

Step 4: Therefore, the least common multiple of 7920 and 7926 is 10462320.