Least Common Multiple of 5939 and 5946

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5939 and 5946 the smallest integer that is 35313294 that is divisible by both numbers.

Least Common Multiple (LCM) of 5939 and 5946 is 35313294.

LCM(5939,5946) = 35313294

LCM of 5939 and 5946

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

LCM of:
and

Least Common Multiple of 5939 and 5946

LCM of 5939 and 5946 is 35313294

Least common multiple can be found by multiplying the highest exponent prime factors of 5939 and 5946. First we will calculate the prime factors of 5939 and 5946.

Prime Factorization of 5939


5939 5939
1

Prime factors of 5939 are 5939. Prime factorization of 5939 in exponential form is:

5939 = 59391

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5939 and 5946.

LCM(5939,5946) = 21×31×9911×59391
LCM(5939,5946) = 35313294

Factors of 5939

List of positive integer factors of 5939 that divides 5939 without a remainder.

1, 5939

Factors of 5946

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

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

Least Common Multiple of 5939 and 5946 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5939 and 5946, than apply into the LCM equation.

GCF(5939,5946) = 1
LCM(5939,5946) = ( 5939 × 5946) / 1
LCM(5939,5946) = 35313294 / 1
LCM(5939,5946) = 35313294

Properties of LCM 5939 and 5946

(i) The LCM of 5946 and 5939 is associative

LCM of 5939 and 5946 = LCM of 5946 and 5939

Related Least Common Multiples of 5939

Related Least Common Multiples of 5946

Frequently Asked Questions on LCM of 5939 and 5946

1. What is the LCM of 5939 and 5946?

Answer: LCM of 5939 and 5946 is 35313294.

2. What are the Factors of 5939?

Answer: Factors of 5939 are 1, 5939. There are 2 integers that are factors of 5939. The greatest factor of 5939 is 5939.

3. 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.

4. How to Find the LCM of 5939 and 5946?

Answer:

Least Common Multiple of 5939 and 5946 = 35313294

Step 1: Find the prime factorization of 5939

5939 = 5939

Step 2: Find the prime factorization of 5946

5946 = 2 x 3 x 991

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

LCM = 35313294 = 2 x 3 x 991 x 5939

Step 4: Therefore, the least common multiple of 5939 and 5946 is 35313294.