Least Common Multiple of 5890 and 5894

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5890 and 5894 the smallest integer that is 17357830 that is divisible by both numbers.

Least Common Multiple (LCM) of 5890 and 5894 is 17357830.

LCM(5890,5894) = 17357830

LCM of 5890 and 5894

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

LCM of:
and

Least Common Multiple of 5890 and 5894

LCM of 5890 and 5894 is 17357830

Least common multiple can be found by multiplying the highest exponent prime factors of 5890 and 5894. First we will calculate the prime factors of 5890 and 5894.

Prime Factorization of 5890


2 5890
5 2945
19 589
31 31
1

Prime factors of 5890 are 2, 5, 19,31. Prime factorization of 5890 in exponential form is:

5890 = 21×51×191×311

Prime Factorization of 5894


2 5894
7 2947
421 421
1

Prime factors of 5894 are 2, 7,421. Prime factorization of 5894 in exponential form is:

5894 = 21×71×4211

Now multiplying the highest exponent prime factors to calculate the LCM of 5890 and 5894.

LCM(5890,5894) = 21×51×71×191×311×4211
LCM(5890,5894) = 17357830

Factors of 5890

List of positive integer factors of 5890 that divides 5890 without a remainder.

1, 2, 5, 10, 19, 31, 38, 62, 95, 155, 190, 310, 589, 1178, 2945, 5890

Factors of 5894

List of positive integer factors of 5894 that divides 5894 without a remainder.

1, 2, 7, 14, 421, 842, 2947, 5894

Least Common Multiple of 5890 and 5894 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5890 and 5894, than apply into the LCM equation.

GCF(5890,5894) = 2
LCM(5890,5894) = ( 5890 × 5894) / 2
LCM(5890,5894) = 34715660 / 2
LCM(5890,5894) = 17357830

Properties of LCM 5890 and 5894

(i) The LCM of 5894 and 5890 is associative

LCM of 5890 and 5894 = LCM of 5894 and 5890

Related Least Common Multiples of 5890

Related Least Common Multiples of 5894

Frequently Asked Questions on LCM of 5890 and 5894

1. What is the LCM of 5890 and 5894?

Answer: LCM of 5890 and 5894 is 17357830.

2. What are the Factors of 5890?

Answer: Factors of 5890 are 1, 2, 5, 10, 19, 31, 38, 62, 95, 155, 190, 310, 589, 1178, 2945, 5890. There are 16 integers that are factors of 5890. The greatest factor of 5890 is 5890.

3. What are the Factors of 5894?

Answer: Factors of 5894 are 1, 2, 7, 14, 421, 842, 2947, 5894. There are 8 integers that are factors of 5894. The greatest factor of 5894 is 5894.

4. How to Find the LCM of 5890 and 5894?

Answer:

Least Common Multiple of 5890 and 5894 = 17357830

Step 1: Find the prime factorization of 5890

5890 = 2 x 5 x 19 x 31

Step 2: Find the prime factorization of 5894

5894 = 2 x 7 x 421

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

LCM = 17357830 = 2 x 5 x 7 x 19 x 31 x 421

Step 4: Therefore, the least common multiple of 5890 and 5894 is 17357830.