Least Common Multiple of 922 and 930

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 930 the smallest integer that is 428730 that is divisible by both numbers.

Least Common Multiple (LCM) of 922 and 930 is 428730.

LCM(922,930) = 428730

LCM of 922 and 930

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

LCM of:
and

Least Common Multiple of 922 and 930

LCM of 922 and 930 is 428730

Least common multiple can be found by multiplying the highest exponent prime factors of 922 and 930. First we will calculate the prime factors of 922 and 930.

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 930


2 930
3 465
5 155
31 31
1

Prime factors of 930 are 2, 3, 5,31. Prime factorization of 930 in exponential form is:

930 = 21×31×51×311

Now multiplying the highest exponent prime factors to calculate the LCM of 922 and 930.

LCM(922,930) = 21×31×51×311×4611
LCM(922,930) = 428730

Factors of 922

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

1, 2, 461, 922

Factors of 930

List of positive integer factors of 930 that divides 930 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

Least Common Multiple of 922 and 930 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 930, than apply into the LCM equation.

GCF(922,930) = 2
LCM(922,930) = ( 922 × 930) / 2
LCM(922,930) = 857460 / 2
LCM(922,930) = 428730

Properties of LCM 922 and 930

(i) The LCM of 930 and 922 is associative

LCM of 922 and 930 = LCM of 930 and 922

Related Least Common Multiples of 922

Related Least Common Multiples of 930

Frequently Asked Questions on LCM of 922 and 930

1. What is the LCM of 922 and 930?

Answer: LCM of 922 and 930 is 428730.

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 930?

Answer: Factors of 930 are 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930. There are 16 integers that are factors of 930. The greatest factor of 930 is 930.

4. How to Find the LCM of 922 and 930?

Answer:

Least Common Multiple of 922 and 930 = 428730

Step 1: Find the prime factorization of 922

922 = 2 x 461

Step 2: Find the prime factorization of 930

930 = 2 x 3 x 5 x 31

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

LCM = 428730 = 2 x 3 x 5 x 31 x 461

Step 4: Therefore, the least common multiple of 922 and 930 is 428730.