Least Common Multiple of 932 and 935

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 932 and 935 the smallest integer that is 871420 that is divisible by both numbers.

Least Common Multiple (LCM) of 932 and 935 is 871420.

LCM(932,935) = 871420

LCM of 932 and 935

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

LCM of:
and

Least Common Multiple of 932 and 935

LCM of 932 and 935 is 871420

Least common multiple can be found by multiplying the highest exponent prime factors of 932 and 935. First we will calculate the prime factors of 932 and 935.

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

Prime Factorization of 935


5 935
11 187
17 17
1

Prime factors of 935 are 5, 11,17. Prime factorization of 935 in exponential form is:

935 = 51×111×171

Now multiplying the highest exponent prime factors to calculate the LCM of 932 and 935.

LCM(932,935) = 22×51×111×171×2331
LCM(932,935) = 871420

Factors of 932

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

1, 2, 4, 233, 466, 932

Factors of 935

List of positive integer factors of 935 that divides 935 without a remainder.

1, 5, 11, 17, 55, 85, 187, 935

Least Common Multiple of 932 and 935 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 932 and 935, than apply into the LCM equation.

GCF(932,935) = 1
LCM(932,935) = ( 932 × 935) / 1
LCM(932,935) = 871420 / 1
LCM(932,935) = 871420

Properties of LCM 932 and 935

(i) The LCM of 935 and 932 is associative

LCM of 932 and 935 = LCM of 935 and 932

Related Least Common Multiples of 932

Related Least Common Multiples of 935

Frequently Asked Questions on LCM of 932 and 935

1. What is the LCM of 932 and 935?

Answer: LCM of 932 and 935 is 871420.

2. 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.

3. What are the Factors of 935?

Answer: Factors of 935 are 1, 5, 11, 17, 55, 85, 187, 935. There are 8 integers that are factors of 935. The greatest factor of 935 is 935.

4. How to Find the LCM of 932 and 935?

Answer:

Least Common Multiple of 932 and 935 = 871420

Step 1: Find the prime factorization of 932

932 = 2 x 2 x 233

Step 2: Find the prime factorization of 935

935 = 5 x 11 x 17

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

LCM = 871420 = 2 x 2 x 5 x 11 x 17 x 233

Step 4: Therefore, the least common multiple of 932 and 935 is 871420.