Least Common Multiple of 1920 and 1923

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 1923 the smallest integer that is 1230720 that is divisible by both numbers.

Least Common Multiple (LCM) of 1920 and 1923 is 1230720.

LCM(1920,1923) = 1230720

LCM of 1920 and 1923

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

LCM of:
and

Least Common Multiple of 1920 and 1923

LCM of 1920 and 1923 is 1230720

Least common multiple can be found by multiplying the highest exponent prime factors of 1920 and 1923. First we will calculate the prime factors of 1920 and 1923.

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 1923


3 1923
641 641
1

Prime factors of 1923 are 3,641. Prime factorization of 1923 in exponential form is:

1923 = 31×6411

Now multiplying the highest exponent prime factors to calculate the LCM of 1920 and 1923.

LCM(1920,1923) = 27×31×51×6411
LCM(1920,1923) = 1230720

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 1923

List of positive integer factors of 1923 that divides 1923 without a remainder.

1, 3, 641, 1923

Least Common Multiple of 1920 and 1923 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 1923, than apply into the LCM equation.

GCF(1920,1923) = 3
LCM(1920,1923) = ( 1920 × 1923) / 3
LCM(1920,1923) = 3692160 / 3
LCM(1920,1923) = 1230720

Properties of LCM 1920 and 1923

(i) The LCM of 1923 and 1920 is associative

LCM of 1920 and 1923 = LCM of 1923 and 1920

Related Least Common Multiples of 1920

Related Least Common Multiples of 1923

Frequently Asked Questions on LCM of 1920 and 1923

1. What is the LCM of 1920 and 1923?

Answer: LCM of 1920 and 1923 is 1230720.

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 1923?

Answer: Factors of 1923 are 1, 3, 641, 1923. There are 4 integers that are factors of 1923. The greatest factor of 1923 is 1923.

4. How to Find the LCM of 1920 and 1923?

Answer:

Least Common Multiple of 1920 and 1923 = 1230720

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 1923

1923 = 3 x 641

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

LCM = 1230720 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 641

Step 4: Therefore, the least common multiple of 1920 and 1923 is 1230720.