Least Common Multiple of 1545 and 1549

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 1549 the smallest integer that is 2393205 that is divisible by both numbers.

Least Common Multiple (LCM) of 1545 and 1549 is 2393205.

LCM(1545,1549) = 2393205

LCM of 1545 and 1549

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

LCM of:
and

Least Common Multiple of 1545 and 1549

LCM of 1545 and 1549 is 2393205

Least common multiple can be found by multiplying the highest exponent prime factors of 1545 and 1549. First we will calculate the prime factors of 1545 and 1549.

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 1549


1549 1549
1

Prime factors of 1549 are 1549. Prime factorization of 1549 in exponential form is:

1549 = 15491

Now multiplying the highest exponent prime factors to calculate the LCM of 1545 and 1549.

LCM(1545,1549) = 31×51×1031×15491
LCM(1545,1549) = 2393205

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 1549

List of positive integer factors of 1549 that divides 1549 without a remainder.

1, 1549

Least Common Multiple of 1545 and 1549 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 1549, than apply into the LCM equation.

GCF(1545,1549) = 1
LCM(1545,1549) = ( 1545 × 1549) / 1
LCM(1545,1549) = 2393205 / 1
LCM(1545,1549) = 2393205

Properties of LCM 1545 and 1549

(i) The LCM of 1549 and 1545 is associative

LCM of 1545 and 1549 = LCM of 1549 and 1545

Related Least Common Multiples of 1545

Related Least Common Multiples of 1549

Frequently Asked Questions on LCM of 1545 and 1549

1. What is the LCM of 1545 and 1549?

Answer: LCM of 1545 and 1549 is 2393205.

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 1549?

Answer: Factors of 1549 are 1, 1549. There are 2 integers that are factors of 1549. The greatest factor of 1549 is 1549.

4. How to Find the LCM of 1545 and 1549?

Answer:

Least Common Multiple of 1545 and 1549 = 2393205

Step 1: Find the prime factorization of 1545

1545 = 3 x 5 x 103

Step 2: Find the prime factorization of 1549

1549 = 1549

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

LCM = 2393205 = 3 x 5 x 103 x 1549

Step 4: Therefore, the least common multiple of 1545 and 1549 is 2393205.