Least Common Multiple of 1916 and 1920

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1916 and 1920 the smallest integer that is 919680 that is divisible by both numbers.

Least Common Multiple (LCM) of 1916 and 1920 is 919680.

LCM(1916,1920) = 919680

LCM of 1916 and 1920

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

LCM of:
and

Least Common Multiple of 1916 and 1920

LCM of 1916 and 1920 is 919680

Least common multiple can be found by multiplying the highest exponent prime factors of 1916 and 1920. First we will calculate the prime factors of 1916 and 1920.

Prime Factorization of 1916


2 1916
2 958
479 479
1

Prime factors of 1916 are 2,479. Prime factorization of 1916 in exponential form is:

1916 = 22×4791

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1916 and 1920.

LCM(1916,1920) = 27×31×51×4791
LCM(1916,1920) = 919680

Factors of 1916

List of positive integer factors of 1916 that divides 1916 without a remainder.

1, 2, 4, 479, 958, 1916

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

Least Common Multiple of 1916 and 1920 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1916 and 1920, than apply into the LCM equation.

GCF(1916,1920) = 4
LCM(1916,1920) = ( 1916 × 1920) / 4
LCM(1916,1920) = 3678720 / 4
LCM(1916,1920) = 919680

Properties of LCM 1916 and 1920

(i) The LCM of 1920 and 1916 is associative

LCM of 1916 and 1920 = LCM of 1920 and 1916

Related Least Common Multiples of 1916

Related Least Common Multiples of 1920

Frequently Asked Questions on LCM of 1916 and 1920

1. What is the LCM of 1916 and 1920?

Answer: LCM of 1916 and 1920 is 919680.

2. What are the Factors of 1916?

Answer: Factors of 1916 are 1, 2, 4, 479, 958, 1916. There are 6 integers that are factors of 1916. The greatest factor of 1916 is 1916.

3. 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.

4. How to Find the LCM of 1916 and 1920?

Answer:

Least Common Multiple of 1916 and 1920 = 919680

Step 1: Find the prime factorization of 1916

1916 = 2 x 2 x 479

Step 2: 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 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 919680 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 479

Step 4: Therefore, the least common multiple of 1916 and 1920 is 919680.