Least Common Multiple of 1542 and 1543

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 1543 the smallest integer that is 2379306 that is divisible by both numbers.

Least Common Multiple (LCM) of 1542 and 1543 is 2379306.

LCM(1542,1543) = 2379306

LCM of 1542 and 1543

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

LCM of:
and

Least Common Multiple of 1542 and 1543

LCM of 1542 and 1543 is 2379306

Least common multiple can be found by multiplying the highest exponent prime factors of 1542 and 1543. First we will calculate the prime factors of 1542 and 1543.

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 1543


1543 1543
1

Prime factors of 1543 are 1543. Prime factorization of 1543 in exponential form is:

1543 = 15431

Now multiplying the highest exponent prime factors to calculate the LCM of 1542 and 1543.

LCM(1542,1543) = 21×31×2571×15431
LCM(1542,1543) = 2379306

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 1543

List of positive integer factors of 1543 that divides 1543 without a remainder.

1, 1543

Least Common Multiple of 1542 and 1543 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 1543, than apply into the LCM equation.

GCF(1542,1543) = 1
LCM(1542,1543) = ( 1542 × 1543) / 1
LCM(1542,1543) = 2379306 / 1
LCM(1542,1543) = 2379306

Properties of LCM 1542 and 1543

(i) The LCM of 1543 and 1542 is associative

LCM of 1542 and 1543 = LCM of 1543 and 1542

Related Least Common Multiples of 1542

Related Least Common Multiples of 1543

Frequently Asked Questions on LCM of 1542 and 1543

1. What is the LCM of 1542 and 1543?

Answer: LCM of 1542 and 1543 is 2379306.

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 1543?

Answer: Factors of 1543 are 1, 1543. There are 2 integers that are factors of 1543. The greatest factor of 1543 is 1543.

4. How to Find the LCM of 1542 and 1543?

Answer:

Least Common Multiple of 1542 and 1543 = 2379306

Step 1: Find the prime factorization of 1542

1542 = 2 x 3 x 257

Step 2: Find the prime factorization of 1543

1543 = 1543

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

LCM = 2379306 = 2 x 3 x 257 x 1543

Step 4: Therefore, the least common multiple of 1542 and 1543 is 2379306.