Least Common Multiple of 1545 and 1553

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1545 and 1553 the smallest integer that is 2399385 that is divisible by both numbers.

Least Common Multiple (LCM) of 1545 and 1553 is 2399385.

LCM(1545,1553) = 2399385

LCM of 1545 and 1553

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

LCM of:
and

Least Common Multiple of 1545 and 1553

LCM of 1545 and 1553 is 2399385

Least common multiple can be found by multiplying the highest exponent prime factors of 1545 and 1553. First we will calculate the prime factors of 1545 and 1553.

Prime Factorization of 1545


3 1545
5 515
103 103
1

Prime factors of 1545 are 3, 5,103. Prime factorization of 1545 in exponential form is:

1545 = 31×51×1031

Prime Factorization of 1553


1553 1553
1

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

1553 = 15531

Now multiplying the highest exponent prime factors to calculate the LCM of 1545 and 1553.

LCM(1545,1553) = 31×51×1031×15531
LCM(1545,1553) = 2399385

Factors of 1545

List of positive integer factors of 1545 that divides 1545 without a remainder.

1, 3, 5, 15, 103, 309, 515, 1545

Factors of 1553

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

1, 1553

Least Common Multiple of 1545 and 1553 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1545 and 1553, than apply into the LCM equation.

GCF(1545,1553) = 1
LCM(1545,1553) = ( 1545 × 1553) / 1
LCM(1545,1553) = 2399385 / 1
LCM(1545,1553) = 2399385

Properties of LCM 1545 and 1553

(i) The LCM of 1553 and 1545 is associative

LCM of 1545 and 1553 = LCM of 1553 and 1545

Related Least Common Multiples of 1545

Related Least Common Multiples of 1553

Frequently Asked Questions on LCM of 1545 and 1553

1. What is the LCM of 1545 and 1553?

Answer: LCM of 1545 and 1553 is 2399385.

2. What are the Factors of 1545?

Answer: Factors of 1545 are 1, 3, 5, 15, 103, 309, 515, 1545. There are 8 integers that are factors of 1545. The greatest factor of 1545 is 1545.

3. 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.

4. How to Find the LCM of 1545 and 1553?

Answer:

Least Common Multiple of 1545 and 1553 = 2399385

Step 1: Find the prime factorization of 1545

1545 = 3 x 5 x 103

Step 2: Find the prime factorization of 1553

1553 = 1553

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

LCM = 2399385 = 3 x 5 x 103 x 1553

Step 4: Therefore, the least common multiple of 1545 and 1553 is 2399385.