Least Common Multiple of 919 and 925

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 919 and 925 the smallest integer that is 850075 that is divisible by both numbers.

Least Common Multiple (LCM) of 919 and 925 is 850075.

LCM(919,925) = 850075

LCM of 919 and 925

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

LCM of:
and

Least Common Multiple of 919 and 925

LCM of 919 and 925 is 850075

Least common multiple can be found by multiplying the highest exponent prime factors of 919 and 925. First we will calculate the prime factors of 919 and 925.

Prime Factorization of 919


919 919
1

Prime factors of 919 are 919. Prime factorization of 919 in exponential form is:

919 = 9191

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

Now multiplying the highest exponent prime factors to calculate the LCM of 919 and 925.

LCM(919,925) = 52×371×9191
LCM(919,925) = 850075

Factors of 919

List of positive integer factors of 919 that divides 919 without a remainder.

1, 919

Factors of 925

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

1, 5, 25, 37, 185, 925

Least Common Multiple of 919 and 925 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 919 and 925, than apply into the LCM equation.

GCF(919,925) = 1
LCM(919,925) = ( 919 × 925) / 1
LCM(919,925) = 850075 / 1
LCM(919,925) = 850075

Properties of LCM 919 and 925

(i) The LCM of 925 and 919 is associative

LCM of 919 and 925 = LCM of 925 and 919

Related Least Common Multiples of 919

Related Least Common Multiples of 925

Frequently Asked Questions on LCM of 919 and 925

1. What is the LCM of 919 and 925?

Answer: LCM of 919 and 925 is 850075.

2. What are the Factors of 919?

Answer: Factors of 919 are 1, 919. There are 2 integers that are factors of 919. The greatest factor of 919 is 919.

3. 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.

4. How to Find the LCM of 919 and 925?

Answer:

Least Common Multiple of 919 and 925 = 850075

Step 1: Find the prime factorization of 919

919 = 919

Step 2: Find the prime factorization of 925

925 = 5 x 5 x 37

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

LCM = 850075 = 5 x 5 x 37 x 919

Step 4: Therefore, the least common multiple of 919 and 925 is 850075.