Least Common Multiple of 85280 and 85285

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 85280 and 85285 the smallest integer that is 1454620960 that is divisible by both numbers.

Least Common Multiple (LCM) of 85280 and 85285 is 1454620960.

LCM(85280,85285) = 1454620960

LCM of 85280 and 85285

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

LCM of:
and

Least Common Multiple of 85280 and 85285

LCM of 85280 and 85285 is 1454620960

Least common multiple can be found by multiplying the highest exponent prime factors of 85280 and 85285. First we will calculate the prime factors of 85280 and 85285.

Prime Factorization of 85280


2 85280
2 42640
2 21320
2 10660
2 5330
5 2665
13 533
41 41
1

Prime factors of 85280 are 2, 5, 13,41. Prime factorization of 85280 in exponential form is:

85280 = 25×51×131×411

Prime Factorization of 85285


5 85285
37 17057
461 461
1

Prime factors of 85285 are 5, 37,461. Prime factorization of 85285 in exponential form is:

85285 = 51×371×4611

Now multiplying the highest exponent prime factors to calculate the LCM of 85280 and 85285.

LCM(85280,85285) = 25×51×131×371×411×4611
LCM(85280,85285) = 1454620960

Factors of 85280

List of positive integer factors of 85280 that divides 85280 without a remainder.

1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 32, 40, 41, 52, 65, 80, 82, 104, 130, 160, 164, 205, 208, 260, 328, 410, 416, 520, 533, 656, 820, 1040, 1066, 1312, 1640, 2080, 2132, 2665, 3280, 4264, 5330, 6560, 8528, 10660, 17056, 21320, 42640, 85280

Factors of 85285

List of positive integer factors of 85285 that divides 85285 without a remainder.

1, 5, 37, 185, 461, 2305, 17057, 85285

Least Common Multiple of 85280 and 85285 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85280 and 85285, than apply into the LCM equation.

GCF(85280,85285) = 5
LCM(85280,85285) = ( 85280 × 85285) / 5
LCM(85280,85285) = 7273104800 / 5
LCM(85280,85285) = 1454620960

Properties of LCM 85280 and 85285

(i) The LCM of 85285 and 85280 is associative

LCM of 85280 and 85285 = LCM of 85285 and 85280

Related Least Common Multiples of 85280

Related Least Common Multiples of 85285

Frequently Asked Questions on LCM of 85280 and 85285

1. What is the LCM of 85280 and 85285?

Answer: LCM of 85280 and 85285 is 1454620960.

2. What are the Factors of 85280?

Answer: Factors of 85280 are 1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 32, 40, 41, 52, 65, 80, 82, 104, 130, 160, 164, 205, 208, 260, 328, 410, 416, 520, 533, 656, 820, 1040, 1066, 1312, 1640, 2080, 2132, 2665, 3280, 4264, 5330, 6560, 8528, 10660, 17056, 21320, 42640, 85280. There are 48 integers that are factors of 85280. The greatest factor of 85280 is 85280.

3. What are the Factors of 85285?

Answer: Factors of 85285 are 1, 5, 37, 185, 461, 2305, 17057, 85285. There are 8 integers that are factors of 85285. The greatest factor of 85285 is 85285.

4. How to Find the LCM of 85280 and 85285?

Answer:

Least Common Multiple of 85280 and 85285 = 1454620960

Step 1: Find the prime factorization of 85280

85280 = 2 x 2 x 2 x 2 x 2 x 5 x 13 x 41

Step 2: Find the prime factorization of 85285

85285 = 5 x 37 x 461

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

LCM = 1454620960 = 2 x 2 x 2 x 2 x 2 x 5 x 13 x 37 x 41 x 461

Step 4: Therefore, the least common multiple of 85280 and 85285 is 1454620960.