Least Common Multiple of 930 and 932

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 930 and 932 the smallest integer that is 433380 that is divisible by both numbers.

Least Common Multiple (LCM) of 930 and 932 is 433380.

LCM(930,932) = 433380

LCM of 930 and 932

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

LCM of:
and

Least Common Multiple of 930 and 932

LCM of 930 and 932 is 433380

Least common multiple can be found by multiplying the highest exponent prime factors of 930 and 932. First we will calculate the prime factors of 930 and 932.

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

Prime Factorization of 932


2 932
2 466
233 233
1

Prime factors of 932 are 2,233. Prime factorization of 932 in exponential form is:

932 = 22×2331

Now multiplying the highest exponent prime factors to calculate the LCM of 930 and 932.

LCM(930,932) = 22×31×51×311×2331
LCM(930,932) = 433380

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

Factors of 932

List of positive integer factors of 932 that divides 932 without a remainder.

1, 2, 4, 233, 466, 932

Least Common Multiple of 930 and 932 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 930 and 932, than apply into the LCM equation.

GCF(930,932) = 2
LCM(930,932) = ( 930 × 932) / 2
LCM(930,932) = 866760 / 2
LCM(930,932) = 433380

Properties of LCM 930 and 932

(i) The LCM of 932 and 930 is associative

LCM of 930 and 932 = LCM of 932 and 930

Related Least Common Multiples of 930

Related Least Common Multiples of 932

Frequently Asked Questions on LCM of 930 and 932

1. What is the LCM of 930 and 932?

Answer: LCM of 930 and 932 is 433380.

2. 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.

3. What are the Factors of 932?

Answer: Factors of 932 are 1, 2, 4, 233, 466, 932. There are 6 integers that are factors of 932. The greatest factor of 932 is 932.

4. How to Find the LCM of 930 and 932?

Answer:

Least Common Multiple of 930 and 932 = 433380

Step 1: Find the prime factorization of 930

930 = 2 x 3 x 5 x 31

Step 2: Find the prime factorization of 932

932 = 2 x 2 x 233

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

LCM = 433380 = 2 x 2 x 3 x 5 x 31 x 233

Step 4: Therefore, the least common multiple of 930 and 932 is 433380.