Least Common Multiple of 1920 and 1928

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 1928 the smallest integer that is 462720 that is divisible by both numbers.

Least Common Multiple (LCM) of 1920 and 1928 is 462720.

LCM(1920,1928) = 462720

LCM of 1920 and 1928

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

LCM of:
and

Least Common Multiple of 1920 and 1928

LCM of 1920 and 1928 is 462720

Least common multiple can be found by multiplying the highest exponent prime factors of 1920 and 1928. First we will calculate the prime factors of 1920 and 1928.

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 1928


2 1928
2 964
2 482
241 241
1

Prime factors of 1928 are 2,241. Prime factorization of 1928 in exponential form is:

1928 = 23×2411

Now multiplying the highest exponent prime factors to calculate the LCM of 1920 and 1928.

LCM(1920,1928) = 27×31×51×2411
LCM(1920,1928) = 462720

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 1928

List of positive integer factors of 1928 that divides 1928 without a remainder.

1, 2, 4, 8, 241, 482, 964, 1928

Least Common Multiple of 1920 and 1928 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 1928, than apply into the LCM equation.

GCF(1920,1928) = 8
LCM(1920,1928) = ( 1920 × 1928) / 8
LCM(1920,1928) = 3701760 / 8
LCM(1920,1928) = 462720

Properties of LCM 1920 and 1928

(i) The LCM of 1928 and 1920 is associative

LCM of 1920 and 1928 = LCM of 1928 and 1920

Related Least Common Multiples of 1920

Related Least Common Multiples of 1928

Frequently Asked Questions on LCM of 1920 and 1928

1. What is the LCM of 1920 and 1928?

Answer: LCM of 1920 and 1928 is 462720.

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 1928?

Answer: Factors of 1928 are 1, 2, 4, 8, 241, 482, 964, 1928. There are 8 integers that are factors of 1928. The greatest factor of 1928 is 1928.

4. How to Find the LCM of 1920 and 1928?

Answer:

Least Common Multiple of 1920 and 1928 = 462720

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 1928

1928 = 2 x 2 x 2 x 241

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

LCM = 462720 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 241

Step 4: Therefore, the least common multiple of 1920 and 1928 is 462720.