Least Common Multiple of 929 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 929 and 935 the smallest integer that is 868615 that is divisible by both numbers.

Least Common Multiple (LCM) of 929 and 935 is 868615.

LCM(929,935) = 868615

LCM of 929 and 935

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

LCM of:
and

Least Common Multiple of 929 and 935

LCM of 929 and 935 is 868615

Least common multiple can be found by multiplying the highest exponent prime factors of 929 and 935. First we will calculate the prime factors of 929 and 935.

Prime Factorization of 929


929 929
1

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

929 = 9291

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 929 and 935.

LCM(929,935) = 51×111×171×9291
LCM(929,935) = 868615

Factors of 929

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

1, 929

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 929 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 929 and 935, than apply into the LCM equation.

GCF(929,935) = 1
LCM(929,935) = ( 929 × 935) / 1
LCM(929,935) = 868615 / 1
LCM(929,935) = 868615

Properties of LCM 929 and 935

(i) The LCM of 935 and 929 is associative

LCM of 929 and 935 = LCM of 935 and 929

Related Least Common Multiples of 929

Related Least Common Multiples of 935

Frequently Asked Questions on LCM of 929 and 935

1. What is the LCM of 929 and 935?

Answer: LCM of 929 and 935 is 868615.

2. 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.

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 929 and 935?

Answer:

Least Common Multiple of 929 and 935 = 868615

Step 1: Find the prime factorization of 929

929 = 929

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 = 868615 = 5 x 11 x 17 x 929

Step 4: Therefore, the least common multiple of 929 and 935 is 868615.