Least Common Multiple of 1920 and 1926

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 1926 the smallest integer that is 616320 that is divisible by both numbers.

Least Common Multiple (LCM) of 1920 and 1926 is 616320.

LCM(1920,1926) = 616320

LCM of 1920 and 1926

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

LCM of:
and

Least Common Multiple of 1920 and 1926

LCM of 1920 and 1926 is 616320

Least common multiple can be found by multiplying the highest exponent prime factors of 1920 and 1926. First we will calculate the prime factors of 1920 and 1926.

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 1926


2 1926
3 963
3 321
107 107
1

Prime factors of 1926 are 2, 3,107. Prime factorization of 1926 in exponential form is:

1926 = 21×32×1071

Now multiplying the highest exponent prime factors to calculate the LCM of 1920 and 1926.

LCM(1920,1926) = 27×32×51×1071
LCM(1920,1926) = 616320

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 1926

List of positive integer factors of 1926 that divides 1926 without a remainder.

1, 2, 3, 6, 9, 18, 107, 214, 321, 642, 963, 1926

Least Common Multiple of 1920 and 1926 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 1926, than apply into the LCM equation.

GCF(1920,1926) = 6
LCM(1920,1926) = ( 1920 × 1926) / 6
LCM(1920,1926) = 3697920 / 6
LCM(1920,1926) = 616320

Properties of LCM 1920 and 1926

(i) The LCM of 1926 and 1920 is associative

LCM of 1920 and 1926 = LCM of 1926 and 1920

Related Least Common Multiples of 1920

Related Least Common Multiples of 1926

Frequently Asked Questions on LCM of 1920 and 1926

1. What is the LCM of 1920 and 1926?

Answer: LCM of 1920 and 1926 is 616320.

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 1926?

Answer: Factors of 1926 are 1, 2, 3, 6, 9, 18, 107, 214, 321, 642, 963, 1926. There are 12 integers that are factors of 1926. The greatest factor of 1926 is 1926.

4. How to Find the LCM of 1920 and 1926?

Answer:

Least Common Multiple of 1920 and 1926 = 616320

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 1926

1926 = 2 x 3 x 3 x 107

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

LCM = 616320 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 107

Step 4: Therefore, the least common multiple of 1920 and 1926 is 616320.