Least Common Multiple of 5946 and 5954

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5946 and 5954 the smallest integer that is 17701242 that is divisible by both numbers.

Least Common Multiple (LCM) of 5946 and 5954 is 17701242.

LCM(5946,5954) = 17701242

LCM of 5946 and 5954

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

LCM of:
and

Least Common Multiple of 5946 and 5954

LCM of 5946 and 5954 is 17701242

Least common multiple can be found by multiplying the highest exponent prime factors of 5946 and 5954. First we will calculate the prime factors of 5946 and 5954.

Prime Factorization of 5946


2 5946
3 2973
991 991
1

Prime factors of 5946 are 2, 3,991. Prime factorization of 5946 in exponential form is:

5946 = 21×31×9911

Prime Factorization of 5954


2 5954
13 2977
229 229
1

Prime factors of 5954 are 2, 13,229. Prime factorization of 5954 in exponential form is:

5954 = 21×131×2291

Now multiplying the highest exponent prime factors to calculate the LCM of 5946 and 5954.

LCM(5946,5954) = 21×31×131×2291×9911
LCM(5946,5954) = 17701242

Factors of 5946

List of positive integer factors of 5946 that divides 5946 without a remainder.

1, 2, 3, 6, 991, 1982, 2973, 5946

Factors of 5954

List of positive integer factors of 5954 that divides 5954 without a remainder.

1, 2, 13, 26, 229, 458, 2977, 5954

Least Common Multiple of 5946 and 5954 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5946 and 5954, than apply into the LCM equation.

GCF(5946,5954) = 2
LCM(5946,5954) = ( 5946 × 5954) / 2
LCM(5946,5954) = 35402484 / 2
LCM(5946,5954) = 17701242

Properties of LCM 5946 and 5954

(i) The LCM of 5954 and 5946 is associative

LCM of 5946 and 5954 = LCM of 5954 and 5946

Related Least Common Multiples of 5946

Related Least Common Multiples of 5954

Frequently Asked Questions on LCM of 5946 and 5954

1. What is the LCM of 5946 and 5954?

Answer: LCM of 5946 and 5954 is 17701242.

2. What are the Factors of 5946?

Answer: Factors of 5946 are 1, 2, 3, 6, 991, 1982, 2973, 5946. There are 8 integers that are factors of 5946. The greatest factor of 5946 is 5946.

3. What are the Factors of 5954?

Answer: Factors of 5954 are 1, 2, 13, 26, 229, 458, 2977, 5954. There are 8 integers that are factors of 5954. The greatest factor of 5954 is 5954.

4. How to Find the LCM of 5946 and 5954?

Answer:

Least Common Multiple of 5946 and 5954 = 17701242

Step 1: Find the prime factorization of 5946

5946 = 2 x 3 x 991

Step 2: Find the prime factorization of 5954

5954 = 2 x 13 x 229

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

LCM = 17701242 = 2 x 3 x 13 x 229 x 991

Step 4: Therefore, the least common multiple of 5946 and 5954 is 17701242.