Least Common Multiple of 927 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 927 and 935 the smallest integer that is 866745 that is divisible by both numbers.

Least Common Multiple (LCM) of 927 and 935 is 866745.

LCM(927,935) = 866745

LCM of 927 and 935

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

LCM of:
and

Least Common Multiple of 927 and 935

LCM of 927 and 935 is 866745

Least common multiple can be found by multiplying the highest exponent prime factors of 927 and 935. First we will calculate the prime factors of 927 and 935.

Prime Factorization of 927


3 927
3 309
103 103
1

Prime factors of 927 are 3,103. Prime factorization of 927 in exponential form is:

927 = 32×1031

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 927 and 935.

LCM(927,935) = 32×51×111×171×1031
LCM(927,935) = 866745

Factors of 927

List of positive integer factors of 927 that divides 927 without a remainder.

1, 3, 9, 103, 309, 927

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 927 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 927 and 935, than apply into the LCM equation.

GCF(927,935) = 1
LCM(927,935) = ( 927 × 935) / 1
LCM(927,935) = 866745 / 1
LCM(927,935) = 866745

Properties of LCM 927 and 935

(i) The LCM of 935 and 927 is associative

LCM of 927 and 935 = LCM of 935 and 927

Related Least Common Multiples of 927

Related Least Common Multiples of 935

Frequently Asked Questions on LCM of 927 and 935

1. What is the LCM of 927 and 935?

Answer: LCM of 927 and 935 is 866745.

2. What are the Factors of 927?

Answer: Factors of 927 are 1, 3, 9, 103, 309, 927. There are 6 integers that are factors of 927. The greatest factor of 927 is 927.

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 927 and 935?

Answer:

Least Common Multiple of 927 and 935 = 866745

Step 1: Find the prime factorization of 927

927 = 3 x 3 x 103

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 = 866745 = 3 x 3 x 5 x 11 x 17 x 103

Step 4: Therefore, the least common multiple of 927 and 935 is 866745.