Least Common Multiple of 5890 and 5896

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 5896 the smallest integer that is 17363720 that is divisible by both numbers.

Least Common Multiple (LCM) of 5890 and 5896 is 17363720.

LCM(5890,5896) = 17363720

LCM of 5890 and 5896

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

LCM of:
and

Least Common Multiple of 5890 and 5896

LCM of 5890 and 5896 is 17363720

Least common multiple can be found by multiplying the highest exponent prime factors of 5890 and 5896. First we will calculate the prime factors of 5890 and 5896.

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 5896


2 5896
2 2948
2 1474
11 737
67 67
1

Prime factors of 5896 are 2, 11,67. Prime factorization of 5896 in exponential form is:

5896 = 23×111×671

Now multiplying the highest exponent prime factors to calculate the LCM of 5890 and 5896.

LCM(5890,5896) = 23×51×111×191×311×671
LCM(5890,5896) = 17363720

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 5896

List of positive integer factors of 5896 that divides 5896 without a remainder.

1, 2, 4, 8, 11, 22, 44, 67, 88, 134, 268, 536, 737, 1474, 2948, 5896

Least Common Multiple of 5890 and 5896 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 5896, than apply into the LCM equation.

GCF(5890,5896) = 2
LCM(5890,5896) = ( 5890 × 5896) / 2
LCM(5890,5896) = 34727440 / 2
LCM(5890,5896) = 17363720

Properties of LCM 5890 and 5896

(i) The LCM of 5896 and 5890 is associative

LCM of 5890 and 5896 = LCM of 5896 and 5890

Related Least Common Multiples of 5890

Related Least Common Multiples of 5896

Frequently Asked Questions on LCM of 5890 and 5896

1. What is the LCM of 5890 and 5896?

Answer: LCM of 5890 and 5896 is 17363720.

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 5896?

Answer: Factors of 5896 are 1, 2, 4, 8, 11, 22, 44, 67, 88, 134, 268, 536, 737, 1474, 2948, 5896. There are 16 integers that are factors of 5896. The greatest factor of 5896 is 5896.

4. How to Find the LCM of 5890 and 5896?

Answer:

Least Common Multiple of 5890 and 5896 = 17363720

Step 1: Find the prime factorization of 5890

5890 = 2 x 5 x 19 x 31

Step 2: Find the prime factorization of 5896

5896 = 2 x 2 x 2 x 11 x 67

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

LCM = 17363720 = 2 x 2 x 2 x 5 x 11 x 19 x 31 x 67

Step 4: Therefore, the least common multiple of 5890 and 5896 is 17363720.