Least Common Multiple of 4538 and 4545

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4538 and 4545 the smallest integer that is 20625210 that is divisible by both numbers.

Least Common Multiple (LCM) of 4538 and 4545 is 20625210.

LCM(4538,4545) = 20625210

LCM of 4538 and 4545

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

LCM of:
and

Least Common Multiple of 4538 and 4545

LCM of 4538 and 4545 is 20625210

Least common multiple can be found by multiplying the highest exponent prime factors of 4538 and 4545. First we will calculate the prime factors of 4538 and 4545.

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

Prime Factorization of 4545


3 4545
3 1515
5 505
101 101
1

Prime factors of 4545 are 3, 5,101. Prime factorization of 4545 in exponential form is:

4545 = 32×51×1011

Now multiplying the highest exponent prime factors to calculate the LCM of 4538 and 4545.

LCM(4538,4545) = 21×32×51×1011×22691
LCM(4538,4545) = 20625210

Factors of 4538

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

1, 2, 2269, 4538

Factors of 4545

List of positive integer factors of 4545 that divides 4545 without a remainder.

1, 3, 5, 9, 15, 45, 101, 303, 505, 909, 1515, 4545

Least Common Multiple of 4538 and 4545 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4538 and 4545, than apply into the LCM equation.

GCF(4538,4545) = 1
LCM(4538,4545) = ( 4538 × 4545) / 1
LCM(4538,4545) = 20625210 / 1
LCM(4538,4545) = 20625210

Properties of LCM 4538 and 4545

(i) The LCM of 4545 and 4538 is associative

LCM of 4538 and 4545 = LCM of 4545 and 4538

Related Least Common Multiples of 4538

Related Least Common Multiples of 4545

Frequently Asked Questions on LCM of 4538 and 4545

1. What is the LCM of 4538 and 4545?

Answer: LCM of 4538 and 4545 is 20625210.

2. 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.

3. What are the Factors of 4545?

Answer: Factors of 4545 are 1, 3, 5, 9, 15, 45, 101, 303, 505, 909, 1515, 4545. There are 12 integers that are factors of 4545. The greatest factor of 4545 is 4545.

4. How to Find the LCM of 4538 and 4545?

Answer:

Least Common Multiple of 4538 and 4545 = 20625210

Step 1: Find the prime factorization of 4538

4538 = 2 x 2269

Step 2: Find the prime factorization of 4545

4545 = 3 x 3 x 5 x 101

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

LCM = 20625210 = 2 x 3 x 3 x 5 x 101 x 2269

Step 4: Therefore, the least common multiple of 4538 and 4545 is 20625210.