Least Common Multiple of 1553 and 1557

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 1557 the smallest integer that is 2418021 that is divisible by both numbers.

Least Common Multiple (LCM) of 1553 and 1557 is 2418021.

LCM(1553,1557) = 2418021

LCM of 1553 and 1557

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

LCM of:
and

Least Common Multiple of 1553 and 1557

LCM of 1553 and 1557 is 2418021

Least common multiple can be found by multiplying the highest exponent prime factors of 1553 and 1557. First we will calculate the prime factors of 1553 and 1557.

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 1557


3 1557
3 519
173 173
1

Prime factors of 1557 are 3,173. Prime factorization of 1557 in exponential form is:

1557 = 32×1731

Now multiplying the highest exponent prime factors to calculate the LCM of 1553 and 1557.

LCM(1553,1557) = 32×1731×15531
LCM(1553,1557) = 2418021

Factors of 1553

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

1, 1553

Factors of 1557

List of positive integer factors of 1557 that divides 1557 without a remainder.

1, 3, 9, 173, 519, 1557

Least Common Multiple of 1553 and 1557 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 1557, than apply into the LCM equation.

GCF(1553,1557) = 1
LCM(1553,1557) = ( 1553 × 1557) / 1
LCM(1553,1557) = 2418021 / 1
LCM(1553,1557) = 2418021

Properties of LCM 1553 and 1557

(i) The LCM of 1557 and 1553 is associative

LCM of 1553 and 1557 = LCM of 1557 and 1553

Related Least Common Multiples of 1553

Related Least Common Multiples of 1557

Frequently Asked Questions on LCM of 1553 and 1557

1. What is the LCM of 1553 and 1557?

Answer: LCM of 1553 and 1557 is 2418021.

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 1557?

Answer: Factors of 1557 are 1, 3, 9, 173, 519, 1557. There are 6 integers that are factors of 1557. The greatest factor of 1557 is 1557.

4. How to Find the LCM of 1553 and 1557?

Answer:

Least Common Multiple of 1553 and 1557 = 2418021

Step 1: Find the prime factorization of 1553

1553 = 1553

Step 2: Find the prime factorization of 1557

1557 = 3 x 3 x 173

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

LCM = 2418021 = 3 x 3 x 173 x 1553

Step 4: Therefore, the least common multiple of 1553 and 1557 is 2418021.