Least Common Multiple of 1553 and 1559

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1553 and 1559 the smallest integer that is 2421127 that is divisible by both numbers.

Least Common Multiple (LCM) of 1553 and 1559 is 2421127.

LCM(1553,1559) = 2421127

LCM of 1553 and 1559

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

LCM of:
and

Least Common Multiple of 1553 and 1559

LCM of 1553 and 1559 is 2421127

Least common multiple can be found by multiplying the highest exponent prime factors of 1553 and 1559. First we will calculate the prime factors of 1553 and 1559.

Prime Factorization of 1553


1553 1553
1

Prime factors of 1553 are 1553. Prime factorization of 1553 in exponential form is:

1553 = 15531

Prime Factorization of 1559


1559 1559
1

Prime factors of 1559 are 1559. Prime factorization of 1559 in exponential form is:

1559 = 15591

Now multiplying the highest exponent prime factors to calculate the LCM of 1553 and 1559.

LCM(1553,1559) = 15531×15591
LCM(1553,1559) = 2421127

Factors of 1553

List of positive integer factors of 1553 that divides 1553 without a remainder.

1, 1553

Factors of 1559

List of positive integer factors of 1559 that divides 1559 without a remainder.

1, 1559

Least Common Multiple of 1553 and 1559 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1553 and 1559, than apply into the LCM equation.

GCF(1553,1559) = 1
LCM(1553,1559) = ( 1553 × 1559) / 1
LCM(1553,1559) = 2421127 / 1
LCM(1553,1559) = 2421127

Properties of LCM 1553 and 1559

(i) The LCM of 1559 and 1553 is associative

LCM of 1553 and 1559 = LCM of 1559 and 1553

Related Least Common Multiples of 1553

Related Least Common Multiples of 1559

Frequently Asked Questions on LCM of 1553 and 1559

1. What is the LCM of 1553 and 1559?

Answer: LCM of 1553 and 1559 is 2421127.

2. What are the Factors of 1553?

Answer: Factors of 1553 are 1, 1553. There are 2 integers that are factors of 1553. The greatest factor of 1553 is 1553.

3. What are the Factors of 1559?

Answer: Factors of 1559 are 1, 1559. There are 2 integers that are factors of 1559. The greatest factor of 1559 is 1559.

4. How to Find the LCM of 1553 and 1559?

Answer:

Least Common Multiple of 1553 and 1559 = 2421127

Step 1: Find the prime factorization of 1553

1553 = 1553

Step 2: Find the prime factorization of 1559

1559 = 1559

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

LCM = 2421127 = 1553 x 1559

Step 4: Therefore, the least common multiple of 1553 and 1559 is 2421127.