Least Common Multiple of 5942 and 5950

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5942 and 5950 the smallest integer that is 17677450 that is divisible by both numbers.

Least Common Multiple (LCM) of 5942 and 5950 is 17677450.

LCM(5942,5950) = 17677450

LCM of 5942 and 5950

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

LCM of:
and

Least Common Multiple of 5942 and 5950

LCM of 5942 and 5950 is 17677450

Least common multiple can be found by multiplying the highest exponent prime factors of 5942 and 5950. First we will calculate the prime factors of 5942 and 5950.

Prime Factorization of 5942


2 5942
2971 2971
1

Prime factors of 5942 are 2,2971. Prime factorization of 5942 in exponential form is:

5942 = 21×29711

Prime Factorization of 5950


2 5950
5 2975
5 595
7 119
17 17
1

Prime factors of 5950 are 2, 5, 7,17. Prime factorization of 5950 in exponential form is:

5950 = 21×52×71×171

Now multiplying the highest exponent prime factors to calculate the LCM of 5942 and 5950.

LCM(5942,5950) = 21×52×71×171×29711
LCM(5942,5950) = 17677450

Factors of 5942

List of positive integer factors of 5942 that divides 5942 without a remainder.

1, 2, 2971, 5942

Factors of 5950

List of positive integer factors of 5950 that divides 5950 without a remainder.

1, 2, 5, 7, 10, 14, 17, 25, 34, 35, 50, 70, 85, 119, 170, 175, 238, 350, 425, 595, 850, 1190, 2975, 5950

Least Common Multiple of 5942 and 5950 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5942 and 5950, than apply into the LCM equation.

GCF(5942,5950) = 2
LCM(5942,5950) = ( 5942 × 5950) / 2
LCM(5942,5950) = 35354900 / 2
LCM(5942,5950) = 17677450

Properties of LCM 5942 and 5950

(i) The LCM of 5950 and 5942 is associative

LCM of 5942 and 5950 = LCM of 5950 and 5942

Related Least Common Multiples of 5942

Related Least Common Multiples of 5950

Frequently Asked Questions on LCM of 5942 and 5950

1. What is the LCM of 5942 and 5950?

Answer: LCM of 5942 and 5950 is 17677450.

2. What are the Factors of 5942?

Answer: Factors of 5942 are 1, 2, 2971, 5942. There are 4 integers that are factors of 5942. The greatest factor of 5942 is 5942.

3. What are the Factors of 5950?

Answer: Factors of 5950 are 1, 2, 5, 7, 10, 14, 17, 25, 34, 35, 50, 70, 85, 119, 170, 175, 238, 350, 425, 595, 850, 1190, 2975, 5950. There are 24 integers that are factors of 5950. The greatest factor of 5950 is 5950.

4. How to Find the LCM of 5942 and 5950?

Answer:

Least Common Multiple of 5942 and 5950 = 17677450

Step 1: Find the prime factorization of 5942

5942 = 2 x 2971

Step 2: Find the prime factorization of 5950

5950 = 2 x 5 x 5 x 7 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 = 17677450 = 2 x 5 x 5 x 7 x 17 x 2971

Step 4: Therefore, the least common multiple of 5942 and 5950 is 17677450.