Least Common Multiple of 5920 and 5925

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5920 and 5925 the smallest integer that is 7015200 that is divisible by both numbers.

Least Common Multiple (LCM) of 5920 and 5925 is 7015200.

LCM(5920,5925) = 7015200

LCM of 5920 and 5925

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

LCM of:
and

Least Common Multiple of 5920 and 5925

LCM of 5920 and 5925 is 7015200

Least common multiple can be found by multiplying the highest exponent prime factors of 5920 and 5925. First we will calculate the prime factors of 5920 and 5925.

Prime Factorization of 5920


2 5920
2 2960
2 1480
2 740
2 370
5 185
37 37
1

Prime factors of 5920 are 2, 5,37. Prime factorization of 5920 in exponential form is:

5920 = 25×51×371

Prime Factorization of 5925


3 5925
5 1975
5 395
79 79
1

Prime factors of 5925 are 3, 5,79. Prime factorization of 5925 in exponential form is:

5925 = 31×52×791

Now multiplying the highest exponent prime factors to calculate the LCM of 5920 and 5925.

LCM(5920,5925) = 25×31×52×371×791
LCM(5920,5925) = 7015200

Factors of 5920

List of positive integer factors of 5920 that divides 5920 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 37, 40, 74, 80, 148, 160, 185, 296, 370, 592, 740, 1184, 1480, 2960, 5920

Factors of 5925

List of positive integer factors of 5925 that divides 5925 without a remainder.

1, 3, 5, 15, 25, 75, 79, 237, 395, 1185, 1975, 5925

Least Common Multiple of 5920 and 5925 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5920 and 5925, than apply into the LCM equation.

GCF(5920,5925) = 5
LCM(5920,5925) = ( 5920 × 5925) / 5
LCM(5920,5925) = 35076000 / 5
LCM(5920,5925) = 7015200

Properties of LCM 5920 and 5925

(i) The LCM of 5925 and 5920 is associative

LCM of 5920 and 5925 = LCM of 5925 and 5920

Related Least Common Multiples of 5920

Related Least Common Multiples of 5925

Frequently Asked Questions on LCM of 5920 and 5925

1. What is the LCM of 5920 and 5925?

Answer: LCM of 5920 and 5925 is 7015200.

2. What are the Factors of 5920?

Answer: Factors of 5920 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 37, 40, 74, 80, 148, 160, 185, 296, 370, 592, 740, 1184, 1480, 2960, 5920. There are 24 integers that are factors of 5920. The greatest factor of 5920 is 5920.

3. What are the Factors of 5925?

Answer: Factors of 5925 are 1, 3, 5, 15, 25, 75, 79, 237, 395, 1185, 1975, 5925. There are 12 integers that are factors of 5925. The greatest factor of 5925 is 5925.

4. How to Find the LCM of 5920 and 5925?

Answer:

Least Common Multiple of 5920 and 5925 = 7015200

Step 1: Find the prime factorization of 5920

5920 = 2 x 2 x 2 x 2 x 2 x 5 x 37

Step 2: Find the prime factorization of 5925

5925 = 3 x 5 x 5 x 79

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

LCM = 7015200 = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5 x 37 x 79

Step 4: Therefore, the least common multiple of 5920 and 5925 is 7015200.