Least Common Multiple of 1537 and 1542

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1537 and 1542 the smallest integer that is 2370054 that is divisible by both numbers.

Least Common Multiple (LCM) of 1537 and 1542 is 2370054.

LCM(1537,1542) = 2370054

LCM of 1537 and 1542

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

LCM of:
and

Least Common Multiple of 1537 and 1542

LCM of 1537 and 1542 is 2370054

Least common multiple can be found by multiplying the highest exponent prime factors of 1537 and 1542. First we will calculate the prime factors of 1537 and 1542.

Prime Factorization of 1537


29 1537
53 53
1

Prime factors of 1537 are 29,53. Prime factorization of 1537 in exponential form is:

1537 = 291×531

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1537 and 1542.

LCM(1537,1542) = 21×31×291×531×2571
LCM(1537,1542) = 2370054

Factors of 1537

List of positive integer factors of 1537 that divides 1537 without a remainder.

1, 29, 53, 1537

Factors of 1542

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

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

Least Common Multiple of 1537 and 1542 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1537 and 1542, than apply into the LCM equation.

GCF(1537,1542) = 1
LCM(1537,1542) = ( 1537 × 1542) / 1
LCM(1537,1542) = 2370054 / 1
LCM(1537,1542) = 2370054

Properties of LCM 1537 and 1542

(i) The LCM of 1542 and 1537 is associative

LCM of 1537 and 1542 = LCM of 1542 and 1537

Related Least Common Multiples of 1537

Related Least Common Multiples of 1542

Frequently Asked Questions on LCM of 1537 and 1542

1. What is the LCM of 1537 and 1542?

Answer: LCM of 1537 and 1542 is 2370054.

2. What are the Factors of 1537?

Answer: Factors of 1537 are 1, 29, 53, 1537. There are 4 integers that are factors of 1537. The greatest factor of 1537 is 1537.

3. 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.

4. How to Find the LCM of 1537 and 1542?

Answer:

Least Common Multiple of 1537 and 1542 = 2370054

Step 1: Find the prime factorization of 1537

1537 = 29 x 53

Step 2: Find the prime factorization of 1542

1542 = 2 x 3 x 257

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

LCM = 2370054 = 2 x 3 x 29 x 53 x 257

Step 4: Therefore, the least common multiple of 1537 and 1542 is 2370054.