Least Common Multiple of 9935 and 9942

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9935 and 9942 the smallest integer that is 98773770 that is divisible by both numbers.

Least Common Multiple (LCM) of 9935 and 9942 is 98773770.

LCM(9935,9942) = 98773770

LCM of 9935 and 9942

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

LCM of:
and

Least Common Multiple of 9935 and 9942

LCM of 9935 and 9942 is 98773770

Least common multiple can be found by multiplying the highest exponent prime factors of 9935 and 9942. First we will calculate the prime factors of 9935 and 9942.

Prime Factorization of 9935


5 9935
1987 1987
1

Prime factors of 9935 are 5,1987. Prime factorization of 9935 in exponential form is:

9935 = 51×19871

Prime Factorization of 9942


2 9942
3 4971
1657 1657
1

Prime factors of 9942 are 2, 3,1657. Prime factorization of 9942 in exponential form is:

9942 = 21×31×16571

Now multiplying the highest exponent prime factors to calculate the LCM of 9935 and 9942.

LCM(9935,9942) = 21×31×51×16571×19871
LCM(9935,9942) = 98773770

Factors of 9935

List of positive integer factors of 9935 that divides 9935 without a remainder.

1, 5, 1987, 9935

Factors of 9942

List of positive integer factors of 9942 that divides 9942 without a remainder.

1, 2, 3, 6, 1657, 3314, 4971, 9942

Least Common Multiple of 9935 and 9942 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9935 and 9942, than apply into the LCM equation.

GCF(9935,9942) = 1
LCM(9935,9942) = ( 9935 × 9942) / 1
LCM(9935,9942) = 98773770 / 1
LCM(9935,9942) = 98773770

Properties of LCM 9935 and 9942

(i) The LCM of 9942 and 9935 is associative

LCM of 9935 and 9942 = LCM of 9942 and 9935

Related Least Common Multiples of 9935

Related Least Common Multiples of 9942

Frequently Asked Questions on LCM of 9935 and 9942

1. What is the LCM of 9935 and 9942?

Answer: LCM of 9935 and 9942 is 98773770.

2. What are the Factors of 9935?

Answer: Factors of 9935 are 1, 5, 1987, 9935. There are 4 integers that are factors of 9935. The greatest factor of 9935 is 9935.

3. What are the Factors of 9942?

Answer: Factors of 9942 are 1, 2, 3, 6, 1657, 3314, 4971, 9942. There are 8 integers that are factors of 9942. The greatest factor of 9942 is 9942.

4. How to Find the LCM of 9935 and 9942?

Answer:

Least Common Multiple of 9935 and 9942 = 98773770

Step 1: Find the prime factorization of 9935

9935 = 5 x 1987

Step 2: Find the prime factorization of 9942

9942 = 2 x 3 x 1657

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

LCM = 98773770 = 2 x 3 x 5 x 1657 x 1987

Step 4: Therefore, the least common multiple of 9935 and 9942 is 98773770.