Least Common Multiple of 1920 and 1927

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 1927 the smallest integer that is 3699840 that is divisible by both numbers.

Least Common Multiple (LCM) of 1920 and 1927 is 3699840.

LCM(1920,1927) = 3699840

LCM of 1920 and 1927

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

LCM of:
and

Least Common Multiple of 1920 and 1927

LCM of 1920 and 1927 is 3699840

Least common multiple can be found by multiplying the highest exponent prime factors of 1920 and 1927. First we will calculate the prime factors of 1920 and 1927.

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 1927


41 1927
47 47
1

Prime factors of 1927 are 41,47. Prime factorization of 1927 in exponential form is:

1927 = 411×471

Now multiplying the highest exponent prime factors to calculate the LCM of 1920 and 1927.

LCM(1920,1927) = 27×31×51×411×471
LCM(1920,1927) = 3699840

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 1927

List of positive integer factors of 1927 that divides 1927 without a remainder.

1, 41, 47, 1927

Least Common Multiple of 1920 and 1927 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 1927, than apply into the LCM equation.

GCF(1920,1927) = 1
LCM(1920,1927) = ( 1920 × 1927) / 1
LCM(1920,1927) = 3699840 / 1
LCM(1920,1927) = 3699840

Properties of LCM 1920 and 1927

(i) The LCM of 1927 and 1920 is associative

LCM of 1920 and 1927 = LCM of 1927 and 1920

Related Least Common Multiples of 1920

Related Least Common Multiples of 1927

Frequently Asked Questions on LCM of 1920 and 1927

1. What is the LCM of 1920 and 1927?

Answer: LCM of 1920 and 1927 is 3699840.

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 1927?

Answer: Factors of 1927 are 1, 41, 47, 1927. There are 4 integers that are factors of 1927. The greatest factor of 1927 is 1927.

4. How to Find the LCM of 1920 and 1927?

Answer:

Least Common Multiple of 1920 and 1927 = 3699840

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 1927

1927 = 41 x 47

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

LCM = 3699840 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 41 x 47

Step 4: Therefore, the least common multiple of 1920 and 1927 is 3699840.