Least Common Multiple of 88520 and 88528

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 88520 and 88528 the smallest integer that is 979562320 that is divisible by both numbers.

Least Common Multiple (LCM) of 88520 and 88528 is 979562320.

LCM(88520,88528) = 979562320

LCM of 88520 and 88528

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

LCM of:
and

Least Common Multiple of 88520 and 88528

LCM of 88520 and 88528 is 979562320

Least common multiple can be found by multiplying the highest exponent prime factors of 88520 and 88528. First we will calculate the prime factors of 88520 and 88528.

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

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

Now multiplying the highest exponent prime factors to calculate the LCM of 88520 and 88528.

LCM(88520,88528) = 24×51×111×5031×22131
LCM(88520,88528) = 979562320

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

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

Least Common Multiple of 88520 and 88528 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88520 and 88528, than apply into the LCM equation.

GCF(88520,88528) = 8
LCM(88520,88528) = ( 88520 × 88528) / 8
LCM(88520,88528) = 7836498560 / 8
LCM(88520,88528) = 979562320

Properties of LCM 88520 and 88528

(i) The LCM of 88528 and 88520 is associative

LCM of 88520 and 88528 = LCM of 88528 and 88520

Related Least Common Multiples of 88520

Related Least Common Multiples of 88528

Frequently Asked Questions on LCM of 88520 and 88528

1. What is the LCM of 88520 and 88528?

Answer: LCM of 88520 and 88528 is 979562320.

2. 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.

3. 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.

4. How to Find the LCM of 88520 and 88528?

Answer:

Least Common Multiple of 88520 and 88528 = 979562320

Step 1: Find the prime factorization of 88520

88520 = 2 x 2 x 2 x 5 x 2213

Step 2: Find the prime factorization of 88528

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

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

LCM = 979562320 = 2 x 2 x 2 x 2 x 5 x 11 x 503 x 2213

Step 4: Therefore, the least common multiple of 88520 and 88528 is 979562320.