Least Common Multiple of 4550 and 4557

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4550 and 4557 the smallest integer that is 2962050 that is divisible by both numbers.

Least Common Multiple (LCM) of 4550 and 4557 is 2962050.

LCM(4550,4557) = 2962050

LCM of 4550 and 4557

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

LCM of:
and

Least Common Multiple of 4550 and 4557

LCM of 4550 and 4557 is 2962050

Least common multiple can be found by multiplying the highest exponent prime factors of 4550 and 4557. First we will calculate the prime factors of 4550 and 4557.

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

Prime Factorization of 4557


3 4557
7 1519
7 217
31 31
1

Prime factors of 4557 are 3, 7,31. Prime factorization of 4557 in exponential form is:

4557 = 31×72×311

Now multiplying the highest exponent prime factors to calculate the LCM of 4550 and 4557.

LCM(4550,4557) = 21×31×52×72×131×311
LCM(4550,4557) = 2962050

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

Factors of 4557

List of positive integer factors of 4557 that divides 4557 without a remainder.

1, 3, 7, 21, 31, 49, 93, 147, 217, 651, 1519, 4557

Least Common Multiple of 4550 and 4557 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4550 and 4557, than apply into the LCM equation.

GCF(4550,4557) = 7
LCM(4550,4557) = ( 4550 × 4557) / 7
LCM(4550,4557) = 20734350 / 7
LCM(4550,4557) = 2962050

Properties of LCM 4550 and 4557

(i) The LCM of 4557 and 4550 is associative

LCM of 4550 and 4557 = LCM of 4557 and 4550

Related Least Common Multiples of 4550

Related Least Common Multiples of 4557

Frequently Asked Questions on LCM of 4550 and 4557

1. What is the LCM of 4550 and 4557?

Answer: LCM of 4550 and 4557 is 2962050.

2. 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.

3. What are the Factors of 4557?

Answer: Factors of 4557 are 1, 3, 7, 21, 31, 49, 93, 147, 217, 651, 1519, 4557. There are 12 integers that are factors of 4557. The greatest factor of 4557 is 4557.

4. How to Find the LCM of 4550 and 4557?

Answer:

Least Common Multiple of 4550 and 4557 = 2962050

Step 1: Find the prime factorization of 4550

4550 = 2 x 5 x 5 x 7 x 13

Step 2: Find the prime factorization of 4557

4557 = 3 x 7 x 7 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 = 2962050 = 2 x 3 x 5 x 5 x 7 x 7 x 13 x 31

Step 4: Therefore, the least common multiple of 4550 and 4557 is 2962050.