Least Common Multiple of 1542 and 1548

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 1548 the smallest integer that is 397836 that is divisible by both numbers.

Least Common Multiple (LCM) of 1542 and 1548 is 397836.

LCM(1542,1548) = 397836

LCM of 1542 and 1548

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

LCM of:
and

Least Common Multiple of 1542 and 1548

LCM of 1542 and 1548 is 397836

Least common multiple can be found by multiplying the highest exponent prime factors of 1542 and 1548. First we will calculate the prime factors of 1542 and 1548.

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 1548


2 1548
2 774
3 387
3 129
43 43
1

Prime factors of 1548 are 2, 3,43. Prime factorization of 1548 in exponential form is:

1548 = 22×32×431

Now multiplying the highest exponent prime factors to calculate the LCM of 1542 and 1548.

LCM(1542,1548) = 22×32×431×2571
LCM(1542,1548) = 397836

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 1548

List of positive integer factors of 1548 that divides 1548 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 43, 86, 129, 172, 258, 387, 516, 774, 1548

Least Common Multiple of 1542 and 1548 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 1548, than apply into the LCM equation.

GCF(1542,1548) = 6
LCM(1542,1548) = ( 1542 × 1548) / 6
LCM(1542,1548) = 2387016 / 6
LCM(1542,1548) = 397836

Properties of LCM 1542 and 1548

(i) The LCM of 1548 and 1542 is associative

LCM of 1542 and 1548 = LCM of 1548 and 1542

Related Least Common Multiples of 1542

Related Least Common Multiples of 1548

Frequently Asked Questions on LCM of 1542 and 1548

1. What is the LCM of 1542 and 1548?

Answer: LCM of 1542 and 1548 is 397836.

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 1548?

Answer: Factors of 1548 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 43, 86, 129, 172, 258, 387, 516, 774, 1548. There are 18 integers that are factors of 1548. The greatest factor of 1548 is 1548.

4. How to Find the LCM of 1542 and 1548?

Answer:

Least Common Multiple of 1542 and 1548 = 397836

Step 1: Find the prime factorization of 1542

1542 = 2 x 3 x 257

Step 2: Find the prime factorization of 1548

1548 = 2 x 2 x 3 x 3 x 43

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

LCM = 397836 = 2 x 2 x 3 x 3 x 43 x 257

Step 4: Therefore, the least common multiple of 1542 and 1548 is 397836.