Least Common Multiple of 922 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 922 and 923 the smallest integer that is 851006 that is divisible by both numbers.

Least Common Multiple (LCM) of 922 and 923 is 851006.

LCM(922,923) = 851006

LCM of 922 and 923

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

LCM of:
and

Least Common Multiple of 922 and 923

LCM of 922 and 923 is 851006

Least common multiple can be found by multiplying the highest exponent prime factors of 922 and 923. First we will calculate the prime factors of 922 and 923.

Prime Factorization of 922


2 922
461 461
1

Prime factors of 922 are 2,461. Prime factorization of 922 in exponential form is:

922 = 21×4611

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 922 and 923.

LCM(922,923) = 21×131×711×4611
LCM(922,923) = 851006

Factors of 922

List of positive integer factors of 922 that divides 922 without a remainder.

1, 2, 461, 922

Factors of 923

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

1, 13, 71, 923

Least Common Multiple of 922 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 922 and 923, than apply into the LCM equation.

GCF(922,923) = 1
LCM(922,923) = ( 922 × 923) / 1
LCM(922,923) = 851006 / 1
LCM(922,923) = 851006

Properties of LCM 922 and 923

(i) The LCM of 923 and 922 is associative

LCM of 922 and 923 = LCM of 923 and 922

Related Least Common Multiples of 922

Related Least Common Multiples of 923

Frequently Asked Questions on LCM of 922 and 923

1. What is the LCM of 922 and 923?

Answer: LCM of 922 and 923 is 851006.

2. What are the Factors of 922?

Answer: Factors of 922 are 1, 2, 461, 922. There are 4 integers that are factors of 922. The greatest factor of 922 is 922.

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 922 and 923?

Answer:

Least Common Multiple of 922 and 923 = 851006

Step 1: Find the prime factorization of 922

922 = 2 x 461

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 = 851006 = 2 x 13 x 71 x 461

Step 4: Therefore, the least common multiple of 922 and 923 is 851006.