Least Common Multiple of 1534 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 1534 and 1542 the smallest integer that is 1182714 that is divisible by both numbers.

Least Common Multiple (LCM) of 1534 and 1542 is 1182714.

LCM(1534,1542) = 1182714

LCM of 1534 and 1542

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

LCM of:
and

Least Common Multiple of 1534 and 1542

LCM of 1534 and 1542 is 1182714

Least common multiple can be found by multiplying the highest exponent prime factors of 1534 and 1542. First we will calculate the prime factors of 1534 and 1542.

Prime Factorization of 1534


2 1534
13 767
59 59
1

Prime factors of 1534 are 2, 13,59. Prime factorization of 1534 in exponential form is:

1534 = 21×131×591

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 1534 and 1542.

LCM(1534,1542) = 21×31×131×591×2571
LCM(1534,1542) = 1182714

Factors of 1534

List of positive integer factors of 1534 that divides 1534 without a remainder.

1, 2, 13, 26, 59, 118, 767, 1534

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 1534 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 1534 and 1542, than apply into the LCM equation.

GCF(1534,1542) = 2
LCM(1534,1542) = ( 1534 × 1542) / 2
LCM(1534,1542) = 2365428 / 2
LCM(1534,1542) = 1182714

Properties of LCM 1534 and 1542

(i) The LCM of 1542 and 1534 is associative

LCM of 1534 and 1542 = LCM of 1542 and 1534

Related Least Common Multiples of 1534

Related Least Common Multiples of 1542

Frequently Asked Questions on LCM of 1534 and 1542

1. What is the LCM of 1534 and 1542?

Answer: LCM of 1534 and 1542 is 1182714.

2. What are the Factors of 1534?

Answer: Factors of 1534 are 1, 2, 13, 26, 59, 118, 767, 1534. There are 8 integers that are factors of 1534. The greatest factor of 1534 is 1534.

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 1534 and 1542?

Answer:

Least Common Multiple of 1534 and 1542 = 1182714

Step 1: Find the prime factorization of 1534

1534 = 2 x 13 x 59

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 = 1182714 = 2 x 3 x 13 x 59 x 257

Step 4: Therefore, the least common multiple of 1534 and 1542 is 1182714.