Least Common Multiple of 928 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 928 and 930 the smallest integer that is 431520 that is divisible by both numbers.

Least Common Multiple (LCM) of 928 and 930 is 431520.

LCM(928,930) = 431520

LCM of 928 and 930

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

LCM of:
and

Least Common Multiple of 928 and 930

LCM of 928 and 930 is 431520

Least common multiple can be found by multiplying the highest exponent prime factors of 928 and 930. First we will calculate the prime factors of 928 and 930.

Prime Factorization of 928


2 928
2 464
2 232
2 116
2 58
29 29
1

Prime factors of 928 are 2,29. Prime factorization of 928 in exponential form is:

928 = 25×291

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 928 and 930.

LCM(928,930) = 25×31×51×291×311
LCM(928,930) = 431520

Factors of 928

List of positive integer factors of 928 that divides 928 without a remainder.

1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

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 928 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 928 and 930, than apply into the LCM equation.

GCF(928,930) = 2
LCM(928,930) = ( 928 × 930) / 2
LCM(928,930) = 863040 / 2
LCM(928,930) = 431520

Properties of LCM 928 and 930

(i) The LCM of 930 and 928 is associative

LCM of 928 and 930 = LCM of 930 and 928

Related Least Common Multiples of 928

Related Least Common Multiples of 930

Frequently Asked Questions on LCM of 928 and 930

1. What is the LCM of 928 and 930?

Answer: LCM of 928 and 930 is 431520.

2. What are the Factors of 928?

Answer: Factors of 928 are 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928. There are 12 integers that are factors of 928. The greatest factor of 928 is 928.

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 928 and 930?

Answer:

Least Common Multiple of 928 and 930 = 431520

Step 1: Find the prime factorization of 928

928 = 2 x 2 x 2 x 2 x 2 x 29

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 = 431520 = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 29 x 31

Step 4: Therefore, the least common multiple of 928 and 930 is 431520.