Least Common Multiple of 1590 and 1598

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 1598 the smallest integer that is 1270410 that is divisible by both numbers.

Least Common Multiple (LCM) of 1590 and 1598 is 1270410.

LCM(1590,1598) = 1270410

LCM of 1590 and 1598

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

LCM of:
and

Least Common Multiple of 1590 and 1598

LCM of 1590 and 1598 is 1270410

Least common multiple can be found by multiplying the highest exponent prime factors of 1590 and 1598. First we will calculate the prime factors of 1590 and 1598.

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 1598


2 1598
17 799
47 47
1

Prime factors of 1598 are 2, 17,47. Prime factorization of 1598 in exponential form is:

1598 = 21×171×471

Now multiplying the highest exponent prime factors to calculate the LCM of 1590 and 1598.

LCM(1590,1598) = 21×31×51×171×471×531
LCM(1590,1598) = 1270410

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 1598

List of positive integer factors of 1598 that divides 1598 without a remainder.

1, 2, 17, 34, 47, 94, 799, 1598

Least Common Multiple of 1590 and 1598 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 1598, than apply into the LCM equation.

GCF(1590,1598) = 2
LCM(1590,1598) = ( 1590 × 1598) / 2
LCM(1590,1598) = 2540820 / 2
LCM(1590,1598) = 1270410

Properties of LCM 1590 and 1598

(i) The LCM of 1598 and 1590 is associative

LCM of 1590 and 1598 = LCM of 1598 and 1590

Related Least Common Multiples of 1590

Related Least Common Multiples of 1598

Frequently Asked Questions on LCM of 1590 and 1598

1. What is the LCM of 1590 and 1598?

Answer: LCM of 1590 and 1598 is 1270410.

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 1598?

Answer: Factors of 1598 are 1, 2, 17, 34, 47, 94, 799, 1598. There are 8 integers that are factors of 1598. The greatest factor of 1598 is 1598.

4. How to Find the LCM of 1590 and 1598?

Answer:

Least Common Multiple of 1590 and 1598 = 1270410

Step 1: Find the prime factorization of 1590

1590 = 2 x 3 x 5 x 53

Step 2: Find the prime factorization of 1598

1598 = 2 x 17 x 47

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

LCM = 1270410 = 2 x 3 x 5 x 17 x 47 x 53

Step 4: Therefore, the least common multiple of 1590 and 1598 is 1270410.