Least Common Multiple of 88528 and 88535

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 88528 and 88535 the smallest integer that is 7837826480 that is divisible by both numbers.

Least Common Multiple (LCM) of 88528 and 88535 is 7837826480.

LCM(88528,88535) = 7837826480

LCM of 88528 and 88535

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

LCM of:
and

Least Common Multiple of 88528 and 88535

LCM of 88528 and 88535 is 7837826480

Least common multiple can be found by multiplying the highest exponent prime factors of 88528 and 88535. First we will calculate the prime factors of 88528 and 88535.

Prime Factorization of 88528


2 88528
2 44264
2 22132
2 11066
11 5533
503 503
1

Prime factors of 88528 are 2, 11,503. Prime factorization of 88528 in exponential form is:

88528 = 24×111×5031

Prime Factorization of 88535


5 88535
17707 17707
1

Prime factors of 88535 are 5,17707. Prime factorization of 88535 in exponential form is:

88535 = 51×177071

Now multiplying the highest exponent prime factors to calculate the LCM of 88528 and 88535.

LCM(88528,88535) = 24×51×111×5031×177071
LCM(88528,88535) = 7837826480

Factors of 88528

List of positive integer factors of 88528 that divides 88528 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176, 503, 1006, 2012, 4024, 5533, 8048, 11066, 22132, 44264, 88528

Factors of 88535

List of positive integer factors of 88535 that divides 88535 without a remainder.

1, 5, 17707, 88535

Least Common Multiple of 88528 and 88535 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88528 and 88535, than apply into the LCM equation.

GCF(88528,88535) = 1
LCM(88528,88535) = ( 88528 × 88535) / 1
LCM(88528,88535) = 7837826480 / 1
LCM(88528,88535) = 7837826480

Properties of LCM 88528 and 88535

(i) The LCM of 88535 and 88528 is associative

LCM of 88528 and 88535 = LCM of 88535 and 88528

Related Least Common Multiples of 88528

Related Least Common Multiples of 88535

Frequently Asked Questions on LCM of 88528 and 88535

1. What is the LCM of 88528 and 88535?

Answer: LCM of 88528 and 88535 is 7837826480.

2. What are the Factors of 88528?

Answer: Factors of 88528 are 1, 2, 4, 8, 11, 16, 22, 44, 88, 176, 503, 1006, 2012, 4024, 5533, 8048, 11066, 22132, 44264, 88528. There are 20 integers that are factors of 88528. The greatest factor of 88528 is 88528.

3. What are the Factors of 88535?

Answer: Factors of 88535 are 1, 5, 17707, 88535. There are 4 integers that are factors of 88535. The greatest factor of 88535 is 88535.

4. How to Find the LCM of 88528 and 88535?

Answer:

Least Common Multiple of 88528 and 88535 = 7837826480

Step 1: Find the prime factorization of 88528

88528 = 2 x 2 x 2 x 2 x 11 x 503

Step 2: Find the prime factorization of 88535

88535 = 5 x 17707

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

LCM = 7837826480 = 2 x 2 x 2 x 2 x 5 x 11 x 503 x 17707

Step 4: Therefore, the least common multiple of 88528 and 88535 is 7837826480.