Least Common Multiple of 1542 and 1550

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 1550 the smallest integer that is 1195050 that is divisible by both numbers.

Least Common Multiple (LCM) of 1542 and 1550 is 1195050.

LCM(1542,1550) = 1195050

LCM of 1542 and 1550

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

LCM of:
and

Least Common Multiple of 1542 and 1550

LCM of 1542 and 1550 is 1195050

Least common multiple can be found by multiplying the highest exponent prime factors of 1542 and 1550. First we will calculate the prime factors of 1542 and 1550.

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 1550


2 1550
5 775
5 155
31 31
1

Prime factors of 1550 are 2, 5,31. Prime factorization of 1550 in exponential form is:

1550 = 21×52×311

Now multiplying the highest exponent prime factors to calculate the LCM of 1542 and 1550.

LCM(1542,1550) = 21×31×52×311×2571
LCM(1542,1550) = 1195050

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 1550

List of positive integer factors of 1550 that divides 1550 without a remainder.

1, 2, 5, 10, 25, 31, 50, 62, 155, 310, 775, 1550

Least Common Multiple of 1542 and 1550 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 1550, than apply into the LCM equation.

GCF(1542,1550) = 2
LCM(1542,1550) = ( 1542 × 1550) / 2
LCM(1542,1550) = 2390100 / 2
LCM(1542,1550) = 1195050

Properties of LCM 1542 and 1550

(i) The LCM of 1550 and 1542 is associative

LCM of 1542 and 1550 = LCM of 1550 and 1542

Related Least Common Multiples of 1542

Related Least Common Multiples of 1550

Frequently Asked Questions on LCM of 1542 and 1550

1. What is the LCM of 1542 and 1550?

Answer: LCM of 1542 and 1550 is 1195050.

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 1550?

Answer: Factors of 1550 are 1, 2, 5, 10, 25, 31, 50, 62, 155, 310, 775, 1550. There are 12 integers that are factors of 1550. The greatest factor of 1550 is 1550.

4. How to Find the LCM of 1542 and 1550?

Answer:

Least Common Multiple of 1542 and 1550 = 1195050

Step 1: Find the prime factorization of 1542

1542 = 2 x 3 x 257

Step 2: Find the prime factorization of 1550

1550 = 2 x 5 x 5 x 31

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

LCM = 1195050 = 2 x 3 x 5 x 5 x 31 x 257

Step 4: Therefore, the least common multiple of 1542 and 1550 is 1195050.