Least Common Multiple of 1590 and 1592

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1590 and 1592 the smallest integer that is 1265640 that is divisible by both numbers.

Least Common Multiple (LCM) of 1590 and 1592 is 1265640.

LCM(1590,1592) = 1265640

LCM of 1590 and 1592

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

LCM of:
and

Least Common Multiple of 1590 and 1592

LCM of 1590 and 1592 is 1265640

Least common multiple can be found by multiplying the highest exponent prime factors of 1590 and 1592. First we will calculate the prime factors of 1590 and 1592.

Prime Factorization of 1590


2 1590
3 795
5 265
53 53
1

Prime factors of 1590 are 2, 3, 5,53. Prime factorization of 1590 in exponential form is:

1590 = 21×31×51×531

Prime Factorization of 1592


2 1592
2 796
2 398
199 199
1

Prime factors of 1592 are 2,199. Prime factorization of 1592 in exponential form is:

1592 = 23×1991

Now multiplying the highest exponent prime factors to calculate the LCM of 1590 and 1592.

LCM(1590,1592) = 23×31×51×531×1991
LCM(1590,1592) = 1265640

Factors of 1590

List of positive integer factors of 1590 that divides 1590 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 53, 106, 159, 265, 318, 530, 795, 1590

Factors of 1592

List of positive integer factors of 1592 that divides 1592 without a remainder.

1, 2, 4, 8, 199, 398, 796, 1592

Least Common Multiple of 1590 and 1592 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1590 and 1592, than apply into the LCM equation.

GCF(1590,1592) = 2
LCM(1590,1592) = ( 1590 × 1592) / 2
LCM(1590,1592) = 2531280 / 2
LCM(1590,1592) = 1265640

Properties of LCM 1590 and 1592

(i) The LCM of 1592 and 1590 is associative

LCM of 1590 and 1592 = LCM of 1592 and 1590

Related Least Common Multiples of 1590

Related Least Common Multiples of 1592

Frequently Asked Questions on LCM of 1590 and 1592

1. What is the LCM of 1590 and 1592?

Answer: LCM of 1590 and 1592 is 1265640.

2. What are the Factors of 1590?

Answer: Factors of 1590 are 1, 2, 3, 5, 6, 10, 15, 30, 53, 106, 159, 265, 318, 530, 795, 1590. There are 16 integers that are factors of 1590. The greatest factor of 1590 is 1590.

3. What are the Factors of 1592?

Answer: Factors of 1592 are 1, 2, 4, 8, 199, 398, 796, 1592. There are 8 integers that are factors of 1592. The greatest factor of 1592 is 1592.

4. How to Find the LCM of 1590 and 1592?

Answer:

Least Common Multiple of 1590 and 1592 = 1265640

Step 1: Find the prime factorization of 1590

1590 = 2 x 3 x 5 x 53

Step 2: Find the prime factorization of 1592

1592 = 2 x 2 x 2 x 199

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

LCM = 1265640 = 2 x 2 x 2 x 3 x 5 x 53 x 199

Step 4: Therefore, the least common multiple of 1590 and 1592 is 1265640.