Least Common Multiple of 542 and 550

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 542 and 550 the smallest integer that is 149050 that is divisible by both numbers.

Least Common Multiple (LCM) of 542 and 550 is 149050.

LCM(542,550) = 149050

LCM of 542 and 550

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

LCM of:
and

Least Common Multiple of 542 and 550

LCM of 542 and 550 is 149050

Least common multiple can be found by multiplying the highest exponent prime factors of 542 and 550. First we will calculate the prime factors of 542 and 550.

Prime Factorization of 542


2 542
271 271
1

Prime factors of 542 are 2,271. Prime factorization of 542 in exponential form is:

542 = 21×2711

Prime Factorization of 550


2 550
5 275
5 55
11 11
1

Prime factors of 550 are 2, 5,11. Prime factorization of 550 in exponential form is:

550 = 21×52×111

Now multiplying the highest exponent prime factors to calculate the LCM of 542 and 550.

LCM(542,550) = 21×52×111×2711
LCM(542,550) = 149050

Factors of 542

List of positive integer factors of 542 that divides 542 without a remainder.

1, 2, 271, 542

Factors of 550

List of positive integer factors of 550 that divides 550 without a remainder.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

Least Common Multiple of 542 and 550 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 542 and 550, than apply into the LCM equation.

GCF(542,550) = 2
LCM(542,550) = ( 542 × 550) / 2
LCM(542,550) = 298100 / 2
LCM(542,550) = 149050

Properties of LCM 542 and 550

(i) The LCM of 550 and 542 is associative

LCM of 542 and 550 = LCM of 550 and 542

Related Least Common Multiples of 542

Related Least Common Multiples of 550

Frequently Asked Questions on LCM of 542 and 550

1. What is the LCM of 542 and 550?

Answer: LCM of 542 and 550 is 149050.

2. What are the Factors of 542?

Answer: Factors of 542 are 1, 2, 271, 542. There are 4 integers that are factors of 542. The greatest factor of 542 is 542.

3. What are the Factors of 550?

Answer: Factors of 550 are 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550. There are 12 integers that are factors of 550. The greatest factor of 550 is 550.

4. How to Find the LCM of 542 and 550?

Answer:

Least Common Multiple of 542 and 550 = 149050

Step 1: Find the prime factorization of 542

542 = 2 x 271

Step 2: Find the prime factorization of 550

550 = 2 x 5 x 5 x 11

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

LCM = 149050 = 2 x 5 x 5 x 11 x 271

Step 4: Therefore, the least common multiple of 542 and 550 is 149050.