Least Common Multiple of 5924 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 5924 and 5925 the smallest integer that is 35099700 that is divisible by both numbers.

Least Common Multiple (LCM) of 5924 and 5925 is 35099700.

LCM(5924,5925) = 35099700

LCM of 5924 and 5925

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

LCM of:
and

Least Common Multiple of 5924 and 5925

LCM of 5924 and 5925 is 35099700

Least common multiple can be found by multiplying the highest exponent prime factors of 5924 and 5925. First we will calculate the prime factors of 5924 and 5925.

Prime Factorization of 5924


2 5924
2 2962
1481 1481
1

Prime factors of 5924 are 2,1481. Prime factorization of 5924 in exponential form is:

5924 = 22×14811

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 5924 and 5925.

LCM(5924,5925) = 22×31×52×791×14811
LCM(5924,5925) = 35099700

Factors of 5924

List of positive integer factors of 5924 that divides 5924 without a remainder.

1, 2, 4, 1481, 2962, 5924

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 5924 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 5924 and 5925, than apply into the LCM equation.

GCF(5924,5925) = 1
LCM(5924,5925) = ( 5924 × 5925) / 1
LCM(5924,5925) = 35099700 / 1
LCM(5924,5925) = 35099700

Properties of LCM 5924 and 5925

(i) The LCM of 5925 and 5924 is associative

LCM of 5924 and 5925 = LCM of 5925 and 5924

Related Least Common Multiples of 5924

Related Least Common Multiples of 5925

Frequently Asked Questions on LCM of 5924 and 5925

1. What is the LCM of 5924 and 5925?

Answer: LCM of 5924 and 5925 is 35099700.

2. What are the Factors of 5924?

Answer: Factors of 5924 are 1, 2, 4, 1481, 2962, 5924. There are 6 integers that are factors of 5924. The greatest factor of 5924 is 5924.

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 5924 and 5925?

Answer:

Least Common Multiple of 5924 and 5925 = 35099700

Step 1: Find the prime factorization of 5924

5924 = 2 x 2 x 1481

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 = 35099700 = 2 x 2 x 3 x 5 x 5 x 79 x 1481

Step 4: Therefore, the least common multiple of 5924 and 5925 is 35099700.