Least Common Multiple of 4523 and 4531

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4523 and 4531 the smallest integer that is 20493713 that is divisible by both numbers.

Least Common Multiple (LCM) of 4523 and 4531 is 20493713.

LCM(4523,4531) = 20493713

LCM of 4523 and 4531

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

LCM of:
and

Least Common Multiple of 4523 and 4531

LCM of 4523 and 4531 is 20493713

Least common multiple can be found by multiplying the highest exponent prime factors of 4523 and 4531. First we will calculate the prime factors of 4523 and 4531.

Prime Factorization of 4523


4523 4523
1

Prime factors of 4523 are 4523. Prime factorization of 4523 in exponential form is:

4523 = 45231

Prime Factorization of 4531


23 4531
197 197
1

Prime factors of 4531 are 23,197. Prime factorization of 4531 in exponential form is:

4531 = 231×1971

Now multiplying the highest exponent prime factors to calculate the LCM of 4523 and 4531.

LCM(4523,4531) = 231×1971×45231
LCM(4523,4531) = 20493713

Factors of 4523

List of positive integer factors of 4523 that divides 4523 without a remainder.

1, 4523

Factors of 4531

List of positive integer factors of 4531 that divides 4531 without a remainder.

1, 23, 197, 4531

Least Common Multiple of 4523 and 4531 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4523 and 4531, than apply into the LCM equation.

GCF(4523,4531) = 1
LCM(4523,4531) = ( 4523 × 4531) / 1
LCM(4523,4531) = 20493713 / 1
LCM(4523,4531) = 20493713

Properties of LCM 4523 and 4531

(i) The LCM of 4531 and 4523 is associative

LCM of 4523 and 4531 = LCM of 4531 and 4523

Related Least Common Multiples of 4523

Related Least Common Multiples of 4531

Frequently Asked Questions on LCM of 4523 and 4531

1. What is the LCM of 4523 and 4531?

Answer: LCM of 4523 and 4531 is 20493713.

2. What are the Factors of 4523?

Answer: Factors of 4523 are 1, 4523. There are 2 integers that are factors of 4523. The greatest factor of 4523 is 4523.

3. What are the Factors of 4531?

Answer: Factors of 4531 are 1, 23, 197, 4531. There are 4 integers that are factors of 4531. The greatest factor of 4531 is 4531.

4. How to Find the LCM of 4523 and 4531?

Answer:

Least Common Multiple of 4523 and 4531 = 20493713

Step 1: Find the prime factorization of 4523

4523 = 4523

Step 2: Find the prime factorization of 4531

4531 = 23 x 197

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

LCM = 20493713 = 23 x 197 x 4523

Step 4: Therefore, the least common multiple of 4523 and 4531 is 20493713.