Least Common Multiple of 1920 and 1922

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 1922 the smallest integer that is 1845120 that is divisible by both numbers.

Least Common Multiple (LCM) of 1920 and 1922 is 1845120.

LCM(1920,1922) = 1845120

LCM of 1920 and 1922

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

LCM of:
and

Least Common Multiple of 1920 and 1922

LCM of 1920 and 1922 is 1845120

Least common multiple can be found by multiplying the highest exponent prime factors of 1920 and 1922. First we will calculate the prime factors of 1920 and 1922.

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 1922


2 1922
31 961
31 31
1

Prime factors of 1922 are 2,31. Prime factorization of 1922 in exponential form is:

1922 = 21×312

Now multiplying the highest exponent prime factors to calculate the LCM of 1920 and 1922.

LCM(1920,1922) = 27×31×51×312
LCM(1920,1922) = 1845120

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 1922

List of positive integer factors of 1922 that divides 1922 without a remainder.

1, 2, 31, 62, 961, 1922

Least Common Multiple of 1920 and 1922 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 1922, than apply into the LCM equation.

GCF(1920,1922) = 2
LCM(1920,1922) = ( 1920 × 1922) / 2
LCM(1920,1922) = 3690240 / 2
LCM(1920,1922) = 1845120

Properties of LCM 1920 and 1922

(i) The LCM of 1922 and 1920 is associative

LCM of 1920 and 1922 = LCM of 1922 and 1920

Related Least Common Multiples of 1920

Related Least Common Multiples of 1922

Frequently Asked Questions on LCM of 1920 and 1922

1. What is the LCM of 1920 and 1922?

Answer: LCM of 1920 and 1922 is 1845120.

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 1922?

Answer: Factors of 1922 are 1, 2, 31, 62, 961, 1922. There are 6 integers that are factors of 1922. The greatest factor of 1922 is 1922.

4. How to Find the LCM of 1920 and 1922?

Answer:

Least Common Multiple of 1920 and 1922 = 1845120

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 1922

1922 = 2 x 31 x 31

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

LCM = 1845120 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 31 x 31

Step 4: Therefore, the least common multiple of 1920 and 1922 is 1845120.