Least Common Multiple of 927 and 929

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 929 the smallest integer that is 861183 that is divisible by both numbers.

Least Common Multiple (LCM) of 927 and 929 is 861183.

LCM(927,929) = 861183

LCM of 927 and 929

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

LCM of:
and

Least Common Multiple of 927 and 929

LCM of 927 and 929 is 861183

Least common multiple can be found by multiplying the highest exponent prime factors of 927 and 929. First we will calculate the prime factors of 927 and 929.

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 929


929 929
1

Prime factors of 929 are 929. Prime factorization of 929 in exponential form is:

929 = 9291

Now multiplying the highest exponent prime factors to calculate the LCM of 927 and 929.

LCM(927,929) = 32×1031×9291
LCM(927,929) = 861183

Factors of 927

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

1, 3, 9, 103, 309, 927

Factors of 929

List of positive integer factors of 929 that divides 929 without a remainder.

1, 929

Least Common Multiple of 927 and 929 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 929, than apply into the LCM equation.

GCF(927,929) = 1
LCM(927,929) = ( 927 × 929) / 1
LCM(927,929) = 861183 / 1
LCM(927,929) = 861183

Properties of LCM 927 and 929

(i) The LCM of 929 and 927 is associative

LCM of 927 and 929 = LCM of 929 and 927

Frequently Asked Questions on LCM of 927 and 929

1. What is the LCM of 927 and 929?

Answer: LCM of 927 and 929 is 861183.

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 929?

Answer: Factors of 929 are 1, 929. There are 2 integers that are factors of 929. The greatest factor of 929 is 929.

4. How to Find the LCM of 927 and 929?

Answer:

Least Common Multiple of 927 and 929 = 861183

Step 1: Find the prime factorization of 927

927 = 3 x 3 x 103

Step 2: Find the prime factorization of 929

929 = 929

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

LCM = 861183 = 3 x 3 x 103 x 929

Step 4: Therefore, the least common multiple of 927 and 929 is 861183.