Least Common Multiple of 922 and 927

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 927 the smallest integer that is 854694 that is divisible by both numbers.

Least Common Multiple (LCM) of 922 and 927 is 854694.

LCM(922,927) = 854694

LCM of 922 and 927

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

LCM of:
and

Least Common Multiple of 922 and 927

LCM of 922 and 927 is 854694

Least common multiple can be found by multiplying the highest exponent prime factors of 922 and 927. First we will calculate the prime factors of 922 and 927.

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 927


3 927
3 309
103 103
1

Prime factors of 927 are 3,103. Prime factorization of 927 in exponential form is:

927 = 32×1031

Now multiplying the highest exponent prime factors to calculate the LCM of 922 and 927.

LCM(922,927) = 21×32×1031×4611
LCM(922,927) = 854694

Factors of 922

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

1, 2, 461, 922

Factors of 927

List of positive integer factors of 927 that divides 927 without a remainder.

1, 3, 9, 103, 309, 927

Least Common Multiple of 922 and 927 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 927, than apply into the LCM equation.

GCF(922,927) = 1
LCM(922,927) = ( 922 × 927) / 1
LCM(922,927) = 854694 / 1
LCM(922,927) = 854694

Properties of LCM 922 and 927

(i) The LCM of 927 and 922 is associative

LCM of 922 and 927 = LCM of 927 and 922

Related Least Common Multiples of 922

Related Least Common Multiples of 927

Frequently Asked Questions on LCM of 922 and 927

1. What is the LCM of 922 and 927?

Answer: LCM of 922 and 927 is 854694.

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 927?

Answer: Factors of 927 are 1, 3, 9, 103, 309, 927. There are 6 integers that are factors of 927. The greatest factor of 927 is 927.

4. How to Find the LCM of 922 and 927?

Answer:

Least Common Multiple of 922 and 927 = 854694

Step 1: Find the prime factorization of 922

922 = 2 x 461

Step 2: Find the prime factorization of 927

927 = 3 x 3 x 103

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

LCM = 854694 = 2 x 3 x 3 x 103 x 461

Step 4: Therefore, the least common multiple of 922 and 927 is 854694.