Least Common Multiple of 88513 and 88520

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 88513 and 88520 the smallest integer that is 7835170760 that is divisible by both numbers.

Least Common Multiple (LCM) of 88513 and 88520 is 7835170760.

LCM(88513,88520) = 7835170760

LCM of 88513 and 88520

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

LCM of:
and

Least Common Multiple of 88513 and 88520

LCM of 88513 and 88520 is 7835170760

Least common multiple can be found by multiplying the highest exponent prime factors of 88513 and 88520. First we will calculate the prime factors of 88513 and 88520.

Prime Factorization of 88513


88513 88513
1

Prime factors of 88513 are 88513. Prime factorization of 88513 in exponential form is:

88513 = 885131

Prime Factorization of 88520


2 88520
2 44260
2 22130
5 11065
2213 2213
1

Prime factors of 88520 are 2, 5,2213. Prime factorization of 88520 in exponential form is:

88520 = 23×51×22131

Now multiplying the highest exponent prime factors to calculate the LCM of 88513 and 88520.

LCM(88513,88520) = 23×51×22131×885131
LCM(88513,88520) = 7835170760

Factors of 88513

List of positive integer factors of 88513 that divides 88513 without a remainder.

1, 88513

Factors of 88520

List of positive integer factors of 88520 that divides 88520 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 2213, 4426, 8852, 11065, 17704, 22130, 44260, 88520

Least Common Multiple of 88513 and 88520 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88513 and 88520, than apply into the LCM equation.

GCF(88513,88520) = 1
LCM(88513,88520) = ( 88513 × 88520) / 1
LCM(88513,88520) = 7835170760 / 1
LCM(88513,88520) = 7835170760

Properties of LCM 88513 and 88520

(i) The LCM of 88520 and 88513 is associative

LCM of 88513 and 88520 = LCM of 88520 and 88513

Related Least Common Multiples of 88513

Related Least Common Multiples of 88520

Frequently Asked Questions on LCM of 88513 and 88520

1. What is the LCM of 88513 and 88520?

Answer: LCM of 88513 and 88520 is 7835170760.

2. What are the Factors of 88513?

Answer: Factors of 88513 are 1, 88513. There are 2 integers that are factors of 88513. The greatest factor of 88513 is 88513.

3. What are the Factors of 88520?

Answer: Factors of 88520 are 1, 2, 4, 5, 8, 10, 20, 40, 2213, 4426, 8852, 11065, 17704, 22130, 44260, 88520. There are 16 integers that are factors of 88520. The greatest factor of 88520 is 88520.

4. How to Find the LCM of 88513 and 88520?

Answer:

Least Common Multiple of 88513 and 88520 = 7835170760

Step 1: Find the prime factorization of 88513

88513 = 88513

Step 2: Find the prime factorization of 88520

88520 = 2 x 2 x 2 x 5 x 2213

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

LCM = 7835170760 = 2 x 2 x 2 x 5 x 2213 x 88513

Step 4: Therefore, the least common multiple of 88513 and 88520 is 7835170760.