Least Common Multiple of 1542 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 1542 and 1549 the smallest integer that is 2388558 that is divisible by both numbers.

Least Common Multiple (LCM) of 1542 and 1549 is 2388558.

LCM(1542,1549) = 2388558

LCM of 1542 and 1549

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

LCM of:
and

Least Common Multiple of 1542 and 1549

LCM of 1542 and 1549 is 2388558

Least common multiple can be found by multiplying the highest exponent prime factors of 1542 and 1549. First we will calculate the prime factors of 1542 and 1549.

Prime Factorization of 1542


2 1542
3 771
257 257
1

Prime factors of 1542 are 2, 3,257. Prime factorization of 1542 in exponential form is:

1542 = 21×31×2571

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 1542 and 1549.

LCM(1542,1549) = 21×31×2571×15491
LCM(1542,1549) = 2388558

Factors of 1542

List of positive integer factors of 1542 that divides 1542 without a remainder.

1, 2, 3, 6, 257, 514, 771, 1542

Factors of 1549

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

1, 1549

Least Common Multiple of 1542 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 1542 and 1549, than apply into the LCM equation.

GCF(1542,1549) = 1
LCM(1542,1549) = ( 1542 × 1549) / 1
LCM(1542,1549) = 2388558 / 1
LCM(1542,1549) = 2388558

Properties of LCM 1542 and 1549

(i) The LCM of 1549 and 1542 is associative

LCM of 1542 and 1549 = LCM of 1549 and 1542

Related Least Common Multiples of 1542

Related Least Common Multiples of 1549

Frequently Asked Questions on LCM of 1542 and 1549

1. What is the LCM of 1542 and 1549?

Answer: LCM of 1542 and 1549 is 2388558.

2. What are the Factors of 1542?

Answer: Factors of 1542 are 1, 2, 3, 6, 257, 514, 771, 1542. There are 8 integers that are factors of 1542. The greatest factor of 1542 is 1542.

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 1542 and 1549?

Answer:

Least Common Multiple of 1542 and 1549 = 2388558

Step 1: Find the prime factorization of 1542

1542 = 2 x 3 x 257

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 = 2388558 = 2 x 3 x 257 x 1549

Step 4: Therefore, the least common multiple of 1542 and 1549 is 2388558.