Least Common Multiple of 930 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 930 and 935 the smallest integer that is 173910 that is divisible by both numbers.

Least Common Multiple (LCM) of 930 and 935 is 173910.

LCM(930,935) = 173910

LCM of 930 and 935

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

LCM of:
and

Least Common Multiple of 930 and 935

LCM of 930 and 935 is 173910

Least common multiple can be found by multiplying the highest exponent prime factors of 930 and 935. First we will calculate the prime factors of 930 and 935.

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 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 930 and 935.

LCM(930,935) = 21×31×51×111×171×311
LCM(930,935) = 173910

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 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 930 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 930 and 935, than apply into the LCM equation.

GCF(930,935) = 5
LCM(930,935) = ( 930 × 935) / 5
LCM(930,935) = 869550 / 5
LCM(930,935) = 173910

Properties of LCM 930 and 935

(i) The LCM of 935 and 930 is associative

LCM of 930 and 935 = LCM of 935 and 930

Related Least Common Multiples of 930

Related Least Common Multiples of 935

Frequently Asked Questions on LCM of 930 and 935

1. What is the LCM of 930 and 935?

Answer: LCM of 930 and 935 is 173910.

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 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 930 and 935?

Answer:

Least Common Multiple of 930 and 935 = 173910

Step 1: Find the prime factorization of 930

930 = 2 x 3 x 5 x 31

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 = 173910 = 2 x 3 x 5 x 11 x 17 x 31

Step 4: Therefore, the least common multiple of 930 and 935 is 173910.