Least Common Multiple of 1574 and 1581

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1574 and 1581 the smallest integer that is 2488494 that is divisible by both numbers.

Least Common Multiple (LCM) of 1574 and 1581 is 2488494.

LCM(1574,1581) = 2488494

LCM of 1574 and 1581

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

LCM of:
and

Least Common Multiple of 1574 and 1581

LCM of 1574 and 1581 is 2488494

Least common multiple can be found by multiplying the highest exponent prime factors of 1574 and 1581. First we will calculate the prime factors of 1574 and 1581.

Prime Factorization of 1574


2 1574
787 787
1

Prime factors of 1574 are 2,787. Prime factorization of 1574 in exponential form is:

1574 = 21×7871

Prime Factorization of 1581


3 1581
17 527
31 31
1

Prime factors of 1581 are 3, 17,31. Prime factorization of 1581 in exponential form is:

1581 = 31×171×311

Now multiplying the highest exponent prime factors to calculate the LCM of 1574 and 1581.

LCM(1574,1581) = 21×31×171×311×7871
LCM(1574,1581) = 2488494

Factors of 1574

List of positive integer factors of 1574 that divides 1574 without a remainder.

1, 2, 787, 1574

Factors of 1581

List of positive integer factors of 1581 that divides 1581 without a remainder.

1, 3, 17, 31, 51, 93, 527, 1581

Least Common Multiple of 1574 and 1581 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1574 and 1581, than apply into the LCM equation.

GCF(1574,1581) = 1
LCM(1574,1581) = ( 1574 × 1581) / 1
LCM(1574,1581) = 2488494 / 1
LCM(1574,1581) = 2488494

Properties of LCM 1574 and 1581

(i) The LCM of 1581 and 1574 is associative

LCM of 1574 and 1581 = LCM of 1581 and 1574

Related Least Common Multiples of 1574

Related Least Common Multiples of 1581

Frequently Asked Questions on LCM of 1574 and 1581

1. What is the LCM of 1574 and 1581?

Answer: LCM of 1574 and 1581 is 2488494.

2. What are the Factors of 1574?

Answer: Factors of 1574 are 1, 2, 787, 1574. There are 4 integers that are factors of 1574. The greatest factor of 1574 is 1574.

3. What are the Factors of 1581?

Answer: Factors of 1581 are 1, 3, 17, 31, 51, 93, 527, 1581. There are 8 integers that are factors of 1581. The greatest factor of 1581 is 1581.

4. How to Find the LCM of 1574 and 1581?

Answer:

Least Common Multiple of 1574 and 1581 = 2488494

Step 1: Find the prime factorization of 1574

1574 = 2 x 787

Step 2: Find the prime factorization of 1581

1581 = 3 x 17 x 31

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

LCM = 2488494 = 2 x 3 x 17 x 31 x 787

Step 4: Therefore, the least common multiple of 1574 and 1581 is 2488494.