Least Common Multiple of 4542 and 4550

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4542 and 4550 the smallest integer that is 10333050 that is divisible by both numbers.

Least Common Multiple (LCM) of 4542 and 4550 is 10333050.

LCM(4542,4550) = 10333050

LCM of 4542 and 4550

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

LCM of:
and

Least Common Multiple of 4542 and 4550

LCM of 4542 and 4550 is 10333050

Least common multiple can be found by multiplying the highest exponent prime factors of 4542 and 4550. First we will calculate the prime factors of 4542 and 4550.

Prime Factorization of 4542


2 4542
3 2271
757 757
1

Prime factors of 4542 are 2, 3,757. Prime factorization of 4542 in exponential form is:

4542 = 21×31×7571

Prime Factorization of 4550


2 4550
5 2275
5 455
7 91
13 13
1

Prime factors of 4550 are 2, 5, 7,13. Prime factorization of 4550 in exponential form is:

4550 = 21×52×71×131

Now multiplying the highest exponent prime factors to calculate the LCM of 4542 and 4550.

LCM(4542,4550) = 21×31×52×71×131×7571
LCM(4542,4550) = 10333050

Factors of 4542

List of positive integer factors of 4542 that divides 4542 without a remainder.

1, 2, 3, 6, 757, 1514, 2271, 4542

Factors of 4550

List of positive integer factors of 4550 that divides 4550 without a remainder.

1, 2, 5, 7, 10, 13, 14, 25, 26, 35, 50, 65, 70, 91, 130, 175, 182, 325, 350, 455, 650, 910, 2275, 4550

Least Common Multiple of 4542 and 4550 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4542 and 4550, than apply into the LCM equation.

GCF(4542,4550) = 2
LCM(4542,4550) = ( 4542 × 4550) / 2
LCM(4542,4550) = 20666100 / 2
LCM(4542,4550) = 10333050

Properties of LCM 4542 and 4550

(i) The LCM of 4550 and 4542 is associative

LCM of 4542 and 4550 = LCM of 4550 and 4542

Related Least Common Multiples of 4542

Related Least Common Multiples of 4550

Frequently Asked Questions on LCM of 4542 and 4550

1. What is the LCM of 4542 and 4550?

Answer: LCM of 4542 and 4550 is 10333050.

2. What are the Factors of 4542?

Answer: Factors of 4542 are 1, 2, 3, 6, 757, 1514, 2271, 4542. There are 8 integers that are factors of 4542. The greatest factor of 4542 is 4542.

3. What are the Factors of 4550?

Answer: Factors of 4550 are 1, 2, 5, 7, 10, 13, 14, 25, 26, 35, 50, 65, 70, 91, 130, 175, 182, 325, 350, 455, 650, 910, 2275, 4550. There are 24 integers that are factors of 4550. The greatest factor of 4550 is 4550.

4. How to Find the LCM of 4542 and 4550?

Answer:

Least Common Multiple of 4542 and 4550 = 10333050

Step 1: Find the prime factorization of 4542

4542 = 2 x 3 x 757

Step 2: Find the prime factorization of 4550

4550 = 2 x 5 x 5 x 7 x 13

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

LCM = 10333050 = 2 x 3 x 5 x 5 x 7 x 13 x 757

Step 4: Therefore, the least common multiple of 4542 and 4550 is 10333050.