Least Common Multiple of 925 and 926

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 925 and 926 the smallest integer that is 856550 that is divisible by both numbers.

Least Common Multiple (LCM) of 925 and 926 is 856550.

LCM(925,926) = 856550

LCM of 925 and 926

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

LCM of:
and

Least Common Multiple of 925 and 926

LCM of 925 and 926 is 856550

Least common multiple can be found by multiplying the highest exponent prime factors of 925 and 926. First we will calculate the prime factors of 925 and 926.

Prime Factorization of 925


5 925
5 185
37 37
1

Prime factors of 925 are 5,37. Prime factorization of 925 in exponential form is:

925 = 52×371

Prime Factorization of 926


2 926
463 463
1

Prime factors of 926 are 2,463. Prime factorization of 926 in exponential form is:

926 = 21×4631

Now multiplying the highest exponent prime factors to calculate the LCM of 925 and 926.

LCM(925,926) = 21×52×371×4631
LCM(925,926) = 856550

Factors of 925

List of positive integer factors of 925 that divides 925 without a remainder.

1, 5, 25, 37, 185, 925

Factors of 926

List of positive integer factors of 926 that divides 926 without a remainder.

1, 2, 463, 926

Least Common Multiple of 925 and 926 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 925 and 926, than apply into the LCM equation.

GCF(925,926) = 1
LCM(925,926) = ( 925 × 926) / 1
LCM(925,926) = 856550 / 1
LCM(925,926) = 856550

Properties of LCM 925 and 926

(i) The LCM of 926 and 925 is associative

LCM of 925 and 926 = LCM of 926 and 925

Related Least Common Multiples of 925

Related Least Common Multiples of 926

Frequently Asked Questions on LCM of 925 and 926

1. What is the LCM of 925 and 926?

Answer: LCM of 925 and 926 is 856550.

2. What are the Factors of 925?

Answer: Factors of 925 are 1, 5, 25, 37, 185, 925. There are 6 integers that are factors of 925. The greatest factor of 925 is 925.

3. What are the Factors of 926?

Answer: Factors of 926 are 1, 2, 463, 926. There are 4 integers that are factors of 926. The greatest factor of 926 is 926.

4. How to Find the LCM of 925 and 926?

Answer:

Least Common Multiple of 925 and 926 = 856550

Step 1: Find the prime factorization of 925

925 = 5 x 5 x 37

Step 2: Find the prime factorization of 926

926 = 2 x 463

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

LCM = 856550 = 2 x 5 x 5 x 37 x 463

Step 4: Therefore, the least common multiple of 925 and 926 is 856550.