Least Common Multiple of 5890 and 5897

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 5897 the smallest integer that is 34733330 that is divisible by both numbers.

Least Common Multiple (LCM) of 5890 and 5897 is 34733330.

LCM(5890,5897) = 34733330

LCM of 5890 and 5897

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

LCM of:
and

Least Common Multiple of 5890 and 5897

LCM of 5890 and 5897 is 34733330

Least common multiple can be found by multiplying the highest exponent prime factors of 5890 and 5897. First we will calculate the prime factors of 5890 and 5897.

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 5897


5897 5897
1

Prime factors of 5897 are 5897. Prime factorization of 5897 in exponential form is:

5897 = 58971

Now multiplying the highest exponent prime factors to calculate the LCM of 5890 and 5897.

LCM(5890,5897) = 21×51×191×311×58971
LCM(5890,5897) = 34733330

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 5897

List of positive integer factors of 5897 that divides 5897 without a remainder.

1, 5897

Least Common Multiple of 5890 and 5897 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 5897, than apply into the LCM equation.

GCF(5890,5897) = 1
LCM(5890,5897) = ( 5890 × 5897) / 1
LCM(5890,5897) = 34733330 / 1
LCM(5890,5897) = 34733330

Properties of LCM 5890 and 5897

(i) The LCM of 5897 and 5890 is associative

LCM of 5890 and 5897 = LCM of 5897 and 5890

Related Least Common Multiples of 5890

Related Least Common Multiples of 5897

Frequently Asked Questions on LCM of 5890 and 5897

1. What is the LCM of 5890 and 5897?

Answer: LCM of 5890 and 5897 is 34733330.

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 5897?

Answer: Factors of 5897 are 1, 5897. There are 2 integers that are factors of 5897. The greatest factor of 5897 is 5897.

4. How to Find the LCM of 5890 and 5897?

Answer:

Least Common Multiple of 5890 and 5897 = 34733330

Step 1: Find the prime factorization of 5890

5890 = 2 x 5 x 19 x 31

Step 2: Find the prime factorization of 5897

5897 = 5897

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

LCM = 34733330 = 2 x 5 x 19 x 31 x 5897

Step 4: Therefore, the least common multiple of 5890 and 5897 is 34733330.