Least Common Multiple of 4530 and 4538

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4530 and 4538 the smallest integer that is 10278570 that is divisible by both numbers.

Least Common Multiple (LCM) of 4530 and 4538 is 10278570.

LCM(4530,4538) = 10278570

LCM of 4530 and 4538

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

LCM of:
and

Least Common Multiple of 4530 and 4538

LCM of 4530 and 4538 is 10278570

Least common multiple can be found by multiplying the highest exponent prime factors of 4530 and 4538. First we will calculate the prime factors of 4530 and 4538.

Prime Factorization of 4530


2 4530
3 2265
5 755
151 151
1

Prime factors of 4530 are 2, 3, 5,151. Prime factorization of 4530 in exponential form is:

4530 = 21×31×51×1511

Prime Factorization of 4538


2 4538
2269 2269
1

Prime factors of 4538 are 2,2269. Prime factorization of 4538 in exponential form is:

4538 = 21×22691

Now multiplying the highest exponent prime factors to calculate the LCM of 4530 and 4538.

LCM(4530,4538) = 21×31×51×1511×22691
LCM(4530,4538) = 10278570

Factors of 4530

List of positive integer factors of 4530 that divides 4530 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 151, 302, 453, 755, 906, 1510, 2265, 4530

Factors of 4538

List of positive integer factors of 4538 that divides 4538 without a remainder.

1, 2, 2269, 4538

Least Common Multiple of 4530 and 4538 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4530 and 4538, than apply into the LCM equation.

GCF(4530,4538) = 2
LCM(4530,4538) = ( 4530 × 4538) / 2
LCM(4530,4538) = 20557140 / 2
LCM(4530,4538) = 10278570

Properties of LCM 4530 and 4538

(i) The LCM of 4538 and 4530 is associative

LCM of 4530 and 4538 = LCM of 4538 and 4530

Related Least Common Multiples of 4530

Related Least Common Multiples of 4538

Frequently Asked Questions on LCM of 4530 and 4538

1. What is the LCM of 4530 and 4538?

Answer: LCM of 4530 and 4538 is 10278570.

2. What are the Factors of 4530?

Answer: Factors of 4530 are 1, 2, 3, 5, 6, 10, 15, 30, 151, 302, 453, 755, 906, 1510, 2265, 4530. There are 16 integers that are factors of 4530. The greatest factor of 4530 is 4530.

3. What are the Factors of 4538?

Answer: Factors of 4538 are 1, 2, 2269, 4538. There are 4 integers that are factors of 4538. The greatest factor of 4538 is 4538.

4. How to Find the LCM of 4530 and 4538?

Answer:

Least Common Multiple of 4530 and 4538 = 10278570

Step 1: Find the prime factorization of 4530

4530 = 2 x 3 x 5 x 151

Step 2: Find the prime factorization of 4538

4538 = 2 x 2269

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

LCM = 10278570 = 2 x 3 x 5 x 151 x 2269

Step 4: Therefore, the least common multiple of 4530 and 4538 is 10278570.