Least Common Multiple of 1920 and 1925

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 1925 the smallest integer that is 739200 that is divisible by both numbers.

Least Common Multiple (LCM) of 1920 and 1925 is 739200.

LCM(1920,1925) = 739200

LCM of 1920 and 1925

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

LCM of:
and

Least Common Multiple of 1920 and 1925

LCM of 1920 and 1925 is 739200

Least common multiple can be found by multiplying the highest exponent prime factors of 1920 and 1925. First we will calculate the prime factors of 1920 and 1925.

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 1925


5 1925
5 385
7 77
11 11
1

Prime factors of 1925 are 5, 7,11. Prime factorization of 1925 in exponential form is:

1925 = 52×71×111

Now multiplying the highest exponent prime factors to calculate the LCM of 1920 and 1925.

LCM(1920,1925) = 27×31×52×71×111
LCM(1920,1925) = 739200

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 1925

List of positive integer factors of 1925 that divides 1925 without a remainder.

1, 5, 7, 11, 25, 35, 55, 77, 175, 275, 385, 1925

Least Common Multiple of 1920 and 1925 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 1925, than apply into the LCM equation.

GCF(1920,1925) = 5
LCM(1920,1925) = ( 1920 × 1925) / 5
LCM(1920,1925) = 3696000 / 5
LCM(1920,1925) = 739200

Properties of LCM 1920 and 1925

(i) The LCM of 1925 and 1920 is associative

LCM of 1920 and 1925 = LCM of 1925 and 1920

Related Least Common Multiples of 1920

Related Least Common Multiples of 1925

Frequently Asked Questions on LCM of 1920 and 1925

1. What is the LCM of 1920 and 1925?

Answer: LCM of 1920 and 1925 is 739200.

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 1925?

Answer: Factors of 1925 are 1, 5, 7, 11, 25, 35, 55, 77, 175, 275, 385, 1925. There are 12 integers that are factors of 1925. The greatest factor of 1925 is 1925.

4. How to Find the LCM of 1920 and 1925?

Answer:

Least Common Multiple of 1920 and 1925 = 739200

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 1925

1925 = 5 x 5 x 7 x 11

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

LCM = 739200 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5 x 7 x 11

Step 4: Therefore, the least common multiple of 1920 and 1925 is 739200.