Least Common Multiple of 921 and 923

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 923 the smallest integer that is 850083 that is divisible by both numbers.

Least Common Multiple (LCM) of 921 and 923 is 850083.

LCM(921,923) = 850083

LCM of 921 and 923

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

LCM of:
and

Least Common Multiple of 921 and 923

LCM of 921 and 923 is 850083

Least common multiple can be found by multiplying the highest exponent prime factors of 921 and 923. First we will calculate the prime factors of 921 and 923.

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 923


13 923
71 71
1

Prime factors of 923 are 13,71. Prime factorization of 923 in exponential form is:

923 = 131×711

Now multiplying the highest exponent prime factors to calculate the LCM of 921 and 923.

LCM(921,923) = 31×131×711×3071
LCM(921,923) = 850083

Factors of 921

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

1, 3, 307, 921

Factors of 923

List of positive integer factors of 923 that divides 923 without a remainder.

1, 13, 71, 923

Least Common Multiple of 921 and 923 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 923, than apply into the LCM equation.

GCF(921,923) = 1
LCM(921,923) = ( 921 × 923) / 1
LCM(921,923) = 850083 / 1
LCM(921,923) = 850083

Properties of LCM 921 and 923

(i) The LCM of 923 and 921 is associative

LCM of 921 and 923 = LCM of 923 and 921

Related Least Common Multiples of 921

Related Least Common Multiples of 923

Frequently Asked Questions on LCM of 921 and 923

1. What is the LCM of 921 and 923?

Answer: LCM of 921 and 923 is 850083.

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 923?

Answer: Factors of 923 are 1, 13, 71, 923. There are 4 integers that are factors of 923. The greatest factor of 923 is 923.

4. How to Find the LCM of 921 and 923?

Answer:

Least Common Multiple of 921 and 923 = 850083

Step 1: Find the prime factorization of 921

921 = 3 x 307

Step 2: Find the prime factorization of 923

923 = 13 x 71

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

LCM = 850083 = 3 x 13 x 71 x 307

Step 4: Therefore, the least common multiple of 921 and 923 is 850083.