Least Common Multiple of 1591 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 1591 and 1594 the smallest integer that is 2536054 that is divisible by both numbers.

Least Common Multiple (LCM) of 1591 and 1594 is 2536054.

LCM(1591,1594) = 2536054

LCM of 1591 and 1594

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

LCM of:
and

Least Common Multiple of 1591 and 1594

LCM of 1591 and 1594 is 2536054

Least common multiple can be found by multiplying the highest exponent prime factors of 1591 and 1594. First we will calculate the prime factors of 1591 and 1594.

Prime Factorization of 1591


37 1591
43 43
1

Prime factors of 1591 are 37,43. Prime factorization of 1591 in exponential form is:

1591 = 371×431

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 1591 and 1594.

LCM(1591,1594) = 21×371×431×7971
LCM(1591,1594) = 2536054

Factors of 1591

List of positive integer factors of 1591 that divides 1591 without a remainder.

1, 37, 43, 1591

Factors of 1594

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

1, 2, 797, 1594

Least Common Multiple of 1591 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 1591 and 1594, than apply into the LCM equation.

GCF(1591,1594) = 1
LCM(1591,1594) = ( 1591 × 1594) / 1
LCM(1591,1594) = 2536054 / 1
LCM(1591,1594) = 2536054

Properties of LCM 1591 and 1594

(i) The LCM of 1594 and 1591 is associative

LCM of 1591 and 1594 = LCM of 1594 and 1591

Related Least Common Multiples of 1591

Related Least Common Multiples of 1594

Frequently Asked Questions on LCM of 1591 and 1594

1. What is the LCM of 1591 and 1594?

Answer: LCM of 1591 and 1594 is 2536054.

2. What are the Factors of 1591?

Answer: Factors of 1591 are 1, 37, 43, 1591. There are 4 integers that are factors of 1591. The greatest factor of 1591 is 1591.

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 1591 and 1594?

Answer:

Least Common Multiple of 1591 and 1594 = 2536054

Step 1: Find the prime factorization of 1591

1591 = 37 x 43

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 = 2536054 = 2 x 37 x 43 x 797

Step 4: Therefore, the least common multiple of 1591 and 1594 is 2536054.