Least Common Multiple of 4546 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 4546 and 4550 the smallest integer that is 10342150 that is divisible by both numbers.

Least Common Multiple (LCM) of 4546 and 4550 is 10342150.

LCM(4546,4550) = 10342150

LCM of 4546 and 4550

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

LCM of:
and

Least Common Multiple of 4546 and 4550

LCM of 4546 and 4550 is 10342150

Least common multiple can be found by multiplying the highest exponent prime factors of 4546 and 4550. First we will calculate the prime factors of 4546 and 4550.

Prime Factorization of 4546


2 4546
2273 2273
1

Prime factors of 4546 are 2,2273. Prime factorization of 4546 in exponential form is:

4546 = 21×22731

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 4546 and 4550.

LCM(4546,4550) = 21×52×71×131×22731
LCM(4546,4550) = 10342150

Factors of 4546

List of positive integer factors of 4546 that divides 4546 without a remainder.

1, 2, 2273, 4546

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 4546 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 4546 and 4550, than apply into the LCM equation.

GCF(4546,4550) = 2
LCM(4546,4550) = ( 4546 × 4550) / 2
LCM(4546,4550) = 20684300 / 2
LCM(4546,4550) = 10342150

Properties of LCM 4546 and 4550

(i) The LCM of 4550 and 4546 is associative

LCM of 4546 and 4550 = LCM of 4550 and 4546

Related Least Common Multiples of 4546

Related Least Common Multiples of 4550

Frequently Asked Questions on LCM of 4546 and 4550

1. What is the LCM of 4546 and 4550?

Answer: LCM of 4546 and 4550 is 10342150.

2. What are the Factors of 4546?

Answer: Factors of 4546 are 1, 2, 2273, 4546. There are 4 integers that are factors of 4546. The greatest factor of 4546 is 4546.

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 4546 and 4550?

Answer:

Least Common Multiple of 4546 and 4550 = 10342150

Step 1: Find the prime factorization of 4546

4546 = 2 x 2273

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 = 10342150 = 2 x 5 x 5 x 7 x 13 x 2273

Step 4: Therefore, the least common multiple of 4546 and 4550 is 10342150.