Least Common Multiple of 1588 and 1594

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1588 and 1594 the smallest integer that is 1265636 that is divisible by both numbers.

Least Common Multiple (LCM) of 1588 and 1594 is 1265636.

LCM(1588,1594) = 1265636

LCM of 1588 and 1594

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

LCM of:
and

Least Common Multiple of 1588 and 1594

LCM of 1588 and 1594 is 1265636

Least common multiple can be found by multiplying the highest exponent prime factors of 1588 and 1594. First we will calculate the prime factors of 1588 and 1594.

Prime Factorization of 1588


2 1588
2 794
397 397
1

Prime factors of 1588 are 2,397. Prime factorization of 1588 in exponential form is:

1588 = 22×3971

Prime Factorization of 1594


2 1594
797 797
1

Prime factors of 1594 are 2,797. Prime factorization of 1594 in exponential form is:

1594 = 21×7971

Now multiplying the highest exponent prime factors to calculate the LCM of 1588 and 1594.

LCM(1588,1594) = 22×3971×7971
LCM(1588,1594) = 1265636

Factors of 1588

List of positive integer factors of 1588 that divides 1588 without a remainder.

1, 2, 4, 397, 794, 1588

Factors of 1594

List of positive integer factors of 1594 that divides 1594 without a remainder.

1, 2, 797, 1594

Least Common Multiple of 1588 and 1594 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1588 and 1594, than apply into the LCM equation.

GCF(1588,1594) = 2
LCM(1588,1594) = ( 1588 × 1594) / 2
LCM(1588,1594) = 2531272 / 2
LCM(1588,1594) = 1265636

Properties of LCM 1588 and 1594

(i) The LCM of 1594 and 1588 is associative

LCM of 1588 and 1594 = LCM of 1594 and 1588

Related Least Common Multiples of 1588

Related Least Common Multiples of 1594

Frequently Asked Questions on LCM of 1588 and 1594

1. What is the LCM of 1588 and 1594?

Answer: LCM of 1588 and 1594 is 1265636.

2. What are the Factors of 1588?

Answer: Factors of 1588 are 1, 2, 4, 397, 794, 1588. There are 6 integers that are factors of 1588. The greatest factor of 1588 is 1588.

3. What are the Factors of 1594?

Answer: Factors of 1594 are 1, 2, 797, 1594. There are 4 integers that are factors of 1594. The greatest factor of 1594 is 1594.

4. How to Find the LCM of 1588 and 1594?

Answer:

Least Common Multiple of 1588 and 1594 = 1265636

Step 1: Find the prime factorization of 1588

1588 = 2 x 2 x 397

Step 2: Find the prime factorization of 1594

1594 = 2 x 797

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

LCM = 1265636 = 2 x 2 x 397 x 797

Step 4: Therefore, the least common multiple of 1588 and 1594 is 1265636.