Least Common Multiple of 1549 and 1555

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1549 and 1555 the smallest integer that is 2408695 that is divisible by both numbers.

Least Common Multiple (LCM) of 1549 and 1555 is 2408695.

LCM(1549,1555) = 2408695

LCM of 1549 and 1555

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

LCM of:
and

Least Common Multiple of 1549 and 1555

LCM of 1549 and 1555 is 2408695

Least common multiple can be found by multiplying the highest exponent prime factors of 1549 and 1555. First we will calculate the prime factors of 1549 and 1555.

Prime Factorization of 1549


1549 1549
1

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

1549 = 15491

Prime Factorization of 1555


5 1555
311 311
1

Prime factors of 1555 are 5,311. Prime factorization of 1555 in exponential form is:

1555 = 51×3111

Now multiplying the highest exponent prime factors to calculate the LCM of 1549 and 1555.

LCM(1549,1555) = 51×3111×15491
LCM(1549,1555) = 2408695

Factors of 1549

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

1, 1549

Factors of 1555

List of positive integer factors of 1555 that divides 1555 without a remainder.

1, 5, 311, 1555

Least Common Multiple of 1549 and 1555 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1549 and 1555, than apply into the LCM equation.

GCF(1549,1555) = 1
LCM(1549,1555) = ( 1549 × 1555) / 1
LCM(1549,1555) = 2408695 / 1
LCM(1549,1555) = 2408695

Properties of LCM 1549 and 1555

(i) The LCM of 1555 and 1549 is associative

LCM of 1549 and 1555 = LCM of 1555 and 1549

Related Least Common Multiples of 1549

Related Least Common Multiples of 1555

Frequently Asked Questions on LCM of 1549 and 1555

1. What is the LCM of 1549 and 1555?

Answer: LCM of 1549 and 1555 is 2408695.

2. 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.

3. What are the Factors of 1555?

Answer: Factors of 1555 are 1, 5, 311, 1555. There are 4 integers that are factors of 1555. The greatest factor of 1555 is 1555.

4. How to Find the LCM of 1549 and 1555?

Answer:

Least Common Multiple of 1549 and 1555 = 2408695

Step 1: Find the prime factorization of 1549

1549 = 1549

Step 2: Find the prime factorization of 1555

1555 = 5 x 311

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

LCM = 2408695 = 5 x 311 x 1549

Step 4: Therefore, the least common multiple of 1549 and 1555 is 2408695.