Least Common Multiple of 935 and 942

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 935 and 942 the smallest integer that is 880770 that is divisible by both numbers.

Least Common Multiple (LCM) of 935 and 942 is 880770.

LCM(935,942) = 880770

LCM of 935 and 942

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

LCM of:
and

Least Common Multiple of 935 and 942

LCM of 935 and 942 is 880770

Least common multiple can be found by multiplying the highest exponent prime factors of 935 and 942. First we will calculate the prime factors of 935 and 942.

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

Prime Factorization of 942


2 942
3 471
157 157
1

Prime factors of 942 are 2, 3,157. Prime factorization of 942 in exponential form is:

942 = 21×31×1571

Now multiplying the highest exponent prime factors to calculate the LCM of 935 and 942.

LCM(935,942) = 21×31×51×111×171×1571
LCM(935,942) = 880770

Factors of 935

List of positive integer factors of 935 that divides 935 without a remainder.

1, 5, 11, 17, 55, 85, 187, 935

Factors of 942

List of positive integer factors of 942 that divides 942 without a remainder.

1, 2, 3, 6, 157, 314, 471, 942

Least Common Multiple of 935 and 942 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 935 and 942, than apply into the LCM equation.

GCF(935,942) = 1
LCM(935,942) = ( 935 × 942) / 1
LCM(935,942) = 880770 / 1
LCM(935,942) = 880770

Properties of LCM 935 and 942

(i) The LCM of 942 and 935 is associative

LCM of 935 and 942 = LCM of 942 and 935

Related Least Common Multiples of 935

Related Least Common Multiples of 942

Frequently Asked Questions on LCM of 935 and 942

1. What is the LCM of 935 and 942?

Answer: LCM of 935 and 942 is 880770.

2. 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.

3. What are the Factors of 942?

Answer: Factors of 942 are 1, 2, 3, 6, 157, 314, 471, 942. There are 8 integers that are factors of 942. The greatest factor of 942 is 942.

4. How to Find the LCM of 935 and 942?

Answer:

Least Common Multiple of 935 and 942 = 880770

Step 1: Find the prime factorization of 935

935 = 5 x 11 x 17

Step 2: Find the prime factorization of 942

942 = 2 x 3 x 157

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

LCM = 880770 = 2 x 3 x 5 x 11 x 17 x 157

Step 4: Therefore, the least common multiple of 935 and 942 is 880770.