Least Common Multiple of 88536 and 88544

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 88536 and 88544 the smallest integer that is 979916448 that is divisible by both numbers.

Least Common Multiple (LCM) of 88536 and 88544 is 979916448.

LCM(88536,88544) = 979916448

LCM of 88536 and 88544

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

LCM of:
and

Least Common Multiple of 88536 and 88544

LCM of 88536 and 88544 is 979916448

Least common multiple can be found by multiplying the highest exponent prime factors of 88536 and 88544. First we will calculate the prime factors of 88536 and 88544.

Prime Factorization of 88536


2 88536
2 44268
2 22134
3 11067
7 3689
17 527
31 31
1

Prime factors of 88536 are 2, 3, 7, 17,31. Prime factorization of 88536 in exponential form is:

88536 = 23×31×71×171×311

Prime Factorization of 88544


2 88544
2 44272
2 22136
2 11068
2 5534
2767 2767
1

Prime factors of 88544 are 2,2767. Prime factorization of 88544 in exponential form is:

88544 = 25×27671

Now multiplying the highest exponent prime factors to calculate the LCM of 88536 and 88544.

LCM(88536,88544) = 25×31×71×171×311×27671
LCM(88536,88544) = 979916448

Factors of 88536

List of positive integer factors of 88536 that divides 88536 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 17, 21, 24, 28, 31, 34, 42, 51, 56, 62, 68, 84, 93, 102, 119, 124, 136, 168, 186, 204, 217, 238, 248, 357, 372, 408, 434, 476, 527, 651, 714, 744, 868, 952, 1054, 1302, 1428, 1581, 1736, 2108, 2604, 2856, 3162, 3689, 4216, 5208, 6324, 7378, 11067, 12648, 14756, 22134, 29512, 44268, 88536

Factors of 88544

List of positive integer factors of 88544 that divides 88544 without a remainder.

1, 2, 4, 8, 16, 32, 2767, 5534, 11068, 22136, 44272, 88544

Least Common Multiple of 88536 and 88544 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88536 and 88544, than apply into the LCM equation.

GCF(88536,88544) = 8
LCM(88536,88544) = ( 88536 × 88544) / 8
LCM(88536,88544) = 7839331584 / 8
LCM(88536,88544) = 979916448

Properties of LCM 88536 and 88544

(i) The LCM of 88544 and 88536 is associative

LCM of 88536 and 88544 = LCM of 88544 and 88536

Related Least Common Multiples of 88536

Related Least Common Multiples of 88544

Frequently Asked Questions on LCM of 88536 and 88544

1. What is the LCM of 88536 and 88544?

Answer: LCM of 88536 and 88544 is 979916448.

2. What are the Factors of 88536?

Answer: Factors of 88536 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 17, 21, 24, 28, 31, 34, 42, 51, 56, 62, 68, 84, 93, 102, 119, 124, 136, 168, 186, 204, 217, 238, 248, 357, 372, 408, 434, 476, 527, 651, 714, 744, 868, 952, 1054, 1302, 1428, 1581, 1736, 2108, 2604, 2856, 3162, 3689, 4216, 5208, 6324, 7378, 11067, 12648, 14756, 22134, 29512, 44268, 88536. There are 64 integers that are factors of 88536. The greatest factor of 88536 is 88536.

3. What are the Factors of 88544?

Answer: Factors of 88544 are 1, 2, 4, 8, 16, 32, 2767, 5534, 11068, 22136, 44272, 88544. There are 12 integers that are factors of 88544. The greatest factor of 88544 is 88544.

4. How to Find the LCM of 88536 and 88544?

Answer:

Least Common Multiple of 88536 and 88544 = 979916448

Step 1: Find the prime factorization of 88536

88536 = 2 x 2 x 2 x 3 x 7 x 17 x 31

Step 2: Find the prime factorization of 88544

88544 = 2 x 2 x 2 x 2 x 2 x 2767

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

LCM = 979916448 = 2 x 2 x 2 x 2 x 2 x 3 x 7 x 17 x 31 x 2767

Step 4: Therefore, the least common multiple of 88536 and 88544 is 979916448.