Least Common Multiple of 1541 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 1541 and 1549 the smallest integer that is 2387009 that is divisible by both numbers.

Least Common Multiple (LCM) of 1541 and 1549 is 2387009.

LCM(1541,1549) = 2387009

LCM of 1541 and 1549

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

LCM of:
and

Least Common Multiple of 1541 and 1549

LCM of 1541 and 1549 is 2387009

Least common multiple can be found by multiplying the highest exponent prime factors of 1541 and 1549. First we will calculate the prime factors of 1541 and 1549.

Prime Factorization of 1541


23 1541
67 67
1

Prime factors of 1541 are 23,67. Prime factorization of 1541 in exponential form is:

1541 = 231×671

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 1541 and 1549.

LCM(1541,1549) = 231×671×15491
LCM(1541,1549) = 2387009

Factors of 1541

List of positive integer factors of 1541 that divides 1541 without a remainder.

1, 23, 67, 1541

Factors of 1549

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

1, 1549

Least Common Multiple of 1541 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 1541 and 1549, than apply into the LCM equation.

GCF(1541,1549) = 1
LCM(1541,1549) = ( 1541 × 1549) / 1
LCM(1541,1549) = 2387009 / 1
LCM(1541,1549) = 2387009

Properties of LCM 1541 and 1549

(i) The LCM of 1549 and 1541 is associative

LCM of 1541 and 1549 = LCM of 1549 and 1541

Related Least Common Multiples of 1541

Related Least Common Multiples of 1549

Frequently Asked Questions on LCM of 1541 and 1549

1. What is the LCM of 1541 and 1549?

Answer: LCM of 1541 and 1549 is 2387009.

2. What are the Factors of 1541?

Answer: Factors of 1541 are 1, 23, 67, 1541. There are 4 integers that are factors of 1541. The greatest factor of 1541 is 1541.

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 1541 and 1549?

Answer:

Least Common Multiple of 1541 and 1549 = 2387009

Step 1: Find the prime factorization of 1541

1541 = 23 x 67

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 = 2387009 = 23 x 67 x 1549

Step 4: Therefore, the least common multiple of 1541 and 1549 is 2387009.