Least Common Multiple of 920 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 920 and 925 the smallest integer that is 170200 that is divisible by both numbers.

Least Common Multiple (LCM) of 920 and 925 is 170200.

LCM(920,925) = 170200

LCM of 920 and 925

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

LCM of:
and

Least Common Multiple of 920 and 925

LCM of 920 and 925 is 170200

Least common multiple can be found by multiplying the highest exponent prime factors of 920 and 925. First we will calculate the prime factors of 920 and 925.

Prime Factorization of 920


2 920
2 460
2 230
5 115
23 23
1

Prime factors of 920 are 2, 5,23. Prime factorization of 920 in exponential form is:

920 = 23×51×231

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 920 and 925.

LCM(920,925) = 23×52×231×371
LCM(920,925) = 170200

Factors of 920

List of positive integer factors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

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 920 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 920 and 925, than apply into the LCM equation.

GCF(920,925) = 5
LCM(920,925) = ( 920 × 925) / 5
LCM(920,925) = 851000 / 5
LCM(920,925) = 170200

Properties of LCM 920 and 925

(i) The LCM of 925 and 920 is associative

LCM of 920 and 925 = LCM of 925 and 920

Related Least Common Multiples of 920

Related Least Common Multiples of 925

Frequently Asked Questions on LCM of 920 and 925

1. What is the LCM of 920 and 925?

Answer: LCM of 920 and 925 is 170200.

2. What are the Factors of 920?

Answer: Factors of 920 are 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920. There are 16 integers that are factors of 920. The greatest factor of 920 is 920.

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 920 and 925?

Answer:

Least Common Multiple of 920 and 925 = 170200

Step 1: Find the prime factorization of 920

920 = 2 x 2 x 2 x 5 x 23

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 = 170200 = 2 x 2 x 2 x 5 x 5 x 23 x 37

Step 4: Therefore, the least common multiple of 920 and 925 is 170200.