Least Common Multiple of 1920 and 1924

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1920 and 1924 the smallest integer that is 923520 that is divisible by both numbers.

Least Common Multiple (LCM) of 1920 and 1924 is 923520.

LCM(1920,1924) = 923520

LCM of 1920 and 1924

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

LCM of:
and

Least Common Multiple of 1920 and 1924

LCM of 1920 and 1924 is 923520

Least common multiple can be found by multiplying the highest exponent prime factors of 1920 and 1924. First we will calculate the prime factors of 1920 and 1924.

Prime Factorization of 1920


2 1920
2 960
2 480
2 240
2 120
2 60
2 30
3 15
5 5
1

Prime factors of 1920 are 2, 3,5. Prime factorization of 1920 in exponential form is:

1920 = 27×31×51

Prime Factorization of 1924


2 1924
2 962
13 481
37 37
1

Prime factors of 1924 are 2, 13,37. Prime factorization of 1924 in exponential form is:

1924 = 22×131×371

Now multiplying the highest exponent prime factors to calculate the LCM of 1920 and 1924.

LCM(1920,1924) = 27×31×51×131×371
LCM(1920,1924) = 923520

Factors of 1920

List of positive integer factors of 1920 that divides 1920 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 128, 160, 192, 240, 320, 384, 480, 640, 960, 1920

Factors of 1924

List of positive integer factors of 1924 that divides 1924 without a remainder.

1, 2, 4, 13, 26, 37, 52, 74, 148, 481, 962, 1924

Least Common Multiple of 1920 and 1924 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1920 and 1924, than apply into the LCM equation.

GCF(1920,1924) = 4
LCM(1920,1924) = ( 1920 × 1924) / 4
LCM(1920,1924) = 3694080 / 4
LCM(1920,1924) = 923520

Properties of LCM 1920 and 1924

(i) The LCM of 1924 and 1920 is associative

LCM of 1920 and 1924 = LCM of 1924 and 1920

Related Least Common Multiples of 1920

Related Least Common Multiples of 1924

Frequently Asked Questions on LCM of 1920 and 1924

1. What is the LCM of 1920 and 1924?

Answer: LCM of 1920 and 1924 is 923520.

2. What are the Factors of 1920?

Answer: Factors of 1920 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 128, 160, 192, 240, 320, 384, 480, 640, 960, 1920. There are 32 integers that are factors of 1920. The greatest factor of 1920 is 1920.

3. What are the Factors of 1924?

Answer: Factors of 1924 are 1, 2, 4, 13, 26, 37, 52, 74, 148, 481, 962, 1924. There are 12 integers that are factors of 1924. The greatest factor of 1924 is 1924.

4. How to Find the LCM of 1920 and 1924?

Answer:

Least Common Multiple of 1920 and 1924 = 923520

Step 1: Find the prime factorization of 1920

1920 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Step 2: Find the prime factorization of 1924

1924 = 2 x 2 x 13 x 37

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

LCM = 923520 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 13 x 37

Step 4: Therefore, the least common multiple of 1920 and 1924 is 923520.