Least Common Multiple of 934 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 934 and 935 the smallest integer that is 873290 that is divisible by both numbers.

Least Common Multiple (LCM) of 934 and 935 is 873290.

LCM(934,935) = 873290

LCM of 934 and 935

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

LCM of:
and

Least Common Multiple of 934 and 935

LCM of 934 and 935 is 873290

Least common multiple can be found by multiplying the highest exponent prime factors of 934 and 935. First we will calculate the prime factors of 934 and 935.

Prime Factorization of 934


2 934
467 467
1

Prime factors of 934 are 2,467. Prime factorization of 934 in exponential form is:

934 = 21×4671

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 934 and 935.

LCM(934,935) = 21×51×111×171×4671
LCM(934,935) = 873290

Factors of 934

List of positive integer factors of 934 that divides 934 without a remainder.

1, 2, 467, 934

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 934 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 934 and 935, than apply into the LCM equation.

GCF(934,935) = 1
LCM(934,935) = ( 934 × 935) / 1
LCM(934,935) = 873290 / 1
LCM(934,935) = 873290

Properties of LCM 934 and 935

(i) The LCM of 935 and 934 is associative

LCM of 934 and 935 = LCM of 935 and 934

Related Least Common Multiples of 934

Related Least Common Multiples of 935

Frequently Asked Questions on LCM of 934 and 935

1. What is the LCM of 934 and 935?

Answer: LCM of 934 and 935 is 873290.

2. What are the Factors of 934?

Answer: Factors of 934 are 1, 2, 467, 934. There are 4 integers that are factors of 934. The greatest factor of 934 is 934.

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 934 and 935?

Answer:

Least Common Multiple of 934 and 935 = 873290

Step 1: Find the prime factorization of 934

934 = 2 x 467

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 = 873290 = 2 x 5 x 11 x 17 x 467

Step 4: Therefore, the least common multiple of 934 and 935 is 873290.