Least Common Multiple of 921 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 921 and 925 the smallest integer that is 851925 that is divisible by both numbers.

Least Common Multiple (LCM) of 921 and 925 is 851925.

LCM(921,925) = 851925

LCM of 921 and 925

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

LCM of:
and

Least Common Multiple of 921 and 925

LCM of 921 and 925 is 851925

Least common multiple can be found by multiplying the highest exponent prime factors of 921 and 925. First we will calculate the prime factors of 921 and 925.

Prime Factorization of 921


3 921
307 307
1

Prime factors of 921 are 3,307. Prime factorization of 921 in exponential form is:

921 = 31×3071

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 921 and 925.

LCM(921,925) = 31×52×371×3071
LCM(921,925) = 851925

Factors of 921

List of positive integer factors of 921 that divides 921 without a remainder.

1, 3, 307, 921

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 921 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 921 and 925, than apply into the LCM equation.

GCF(921,925) = 1
LCM(921,925) = ( 921 × 925) / 1
LCM(921,925) = 851925 / 1
LCM(921,925) = 851925

Properties of LCM 921 and 925

(i) The LCM of 925 and 921 is associative

LCM of 921 and 925 = LCM of 925 and 921

Related Least Common Multiples of 921

Related Least Common Multiples of 925

Frequently Asked Questions on LCM of 921 and 925

1. What is the LCM of 921 and 925?

Answer: LCM of 921 and 925 is 851925.

2. What are the Factors of 921?

Answer: Factors of 921 are 1, 3, 307, 921. There are 4 integers that are factors of 921. The greatest factor of 921 is 921.

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 921 and 925?

Answer:

Least Common Multiple of 921 and 925 = 851925

Step 1: Find the prime factorization of 921

921 = 3 x 307

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 = 851925 = 3 x 5 x 5 x 37 x 307

Step 4: Therefore, the least common multiple of 921 and 925 is 851925.