Least Common Multiple of 5940 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 5940 and 5946 the smallest integer that is 5886540 that is divisible by both numbers.

Least Common Multiple (LCM) of 5940 and 5946 is 5886540.

LCM(5940,5946) = 5886540

LCM of 5940 and 5946

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

LCM of:
and

Least Common Multiple of 5940 and 5946

LCM of 5940 and 5946 is 5886540

Least common multiple can be found by multiplying the highest exponent prime factors of 5940 and 5946. First we will calculate the prime factors of 5940 and 5946.

Prime Factorization of 5940


2 5940
2 2970
3 1485
3 495
3 165
5 55
11 11
1

Prime factors of 5940 are 2, 3, 5,11. Prime factorization of 5940 in exponential form is:

5940 = 22×33×51×111

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 5940 and 5946.

LCM(5940,5946) = 22×33×51×111×9911
LCM(5940,5946) = 5886540

Factors of 5940

List of positive integer factors of 5940 that divides 5940 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 11, 12, 15, 18, 20, 22, 27, 30, 33, 36, 44, 45, 54, 55, 60, 66, 90, 99, 108, 110, 132, 135, 165, 180, 198, 220, 270, 297, 330, 396, 495, 540, 594, 660, 990, 1188, 1485, 1980, 2970, 5940

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 5940 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 5940 and 5946, than apply into the LCM equation.

GCF(5940,5946) = 6
LCM(5940,5946) = ( 5940 × 5946) / 6
LCM(5940,5946) = 35319240 / 6
LCM(5940,5946) = 5886540

Properties of LCM 5940 and 5946

(i) The LCM of 5946 and 5940 is associative

LCM of 5940 and 5946 = LCM of 5946 and 5940

Related Least Common Multiples of 5940

Related Least Common Multiples of 5946

Frequently Asked Questions on LCM of 5940 and 5946

1. What is the LCM of 5940 and 5946?

Answer: LCM of 5940 and 5946 is 5886540.

2. What are the Factors of 5940?

Answer: Factors of 5940 are 1, 2, 3, 4, 5, 6, 9, 10, 11, 12, 15, 18, 20, 22, 27, 30, 33, 36, 44, 45, 54, 55, 60, 66, 90, 99, 108, 110, 132, 135, 165, 180, 198, 220, 270, 297, 330, 396, 495, 540, 594, 660, 990, 1188, 1485, 1980, 2970, 5940. There are 48 integers that are factors of 5940. The greatest factor of 5940 is 5940.

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 5940 and 5946?

Answer:

Least Common Multiple of 5940 and 5946 = 5886540

Step 1: Find the prime factorization of 5940

5940 = 2 x 2 x 3 x 3 x 3 x 5 x 11

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 = 5886540 = 2 x 2 x 3 x 3 x 3 x 5 x 11 x 991

Step 4: Therefore, the least common multiple of 5940 and 5946 is 5886540.