Least Common Multiple of 85273 and 85280

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 85273 and 85280 the smallest integer that is 7272081440 that is divisible by both numbers.

Least Common Multiple (LCM) of 85273 and 85280 is 7272081440.

LCM(85273,85280) = 7272081440

LCM of 85273 and 85280

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

LCM of:
and

Least Common Multiple of 85273 and 85280

LCM of 85273 and 85280 is 7272081440

Least common multiple can be found by multiplying the highest exponent prime factors of 85273 and 85280. First we will calculate the prime factors of 85273 and 85280.

Prime Factorization of 85273


269 85273
317 317
1

Prime factors of 85273 are 269,317. Prime factorization of 85273 in exponential form is:

85273 = 2691×3171

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

Now multiplying the highest exponent prime factors to calculate the LCM of 85273 and 85280.

LCM(85273,85280) = 25×51×131×411×2691×3171
LCM(85273,85280) = 7272081440

Factors of 85273

List of positive integer factors of 85273 that divides 85273 without a remainder.

1, 269, 317, 85273

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

Least Common Multiple of 85273 and 85280 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85273 and 85280, than apply into the LCM equation.

GCF(85273,85280) = 1
LCM(85273,85280) = ( 85273 × 85280) / 1
LCM(85273,85280) = 7272081440 / 1
LCM(85273,85280) = 7272081440

Properties of LCM 85273 and 85280

(i) The LCM of 85280 and 85273 is associative

LCM of 85273 and 85280 = LCM of 85280 and 85273

Related Least Common Multiples of 85273

Related Least Common Multiples of 85280

Frequently Asked Questions on LCM of 85273 and 85280

1. What is the LCM of 85273 and 85280?

Answer: LCM of 85273 and 85280 is 7272081440.

2. What are the Factors of 85273?

Answer: Factors of 85273 are 1, 269, 317, 85273. There are 4 integers that are factors of 85273. The greatest factor of 85273 is 85273.

3. 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.

4. How to Find the LCM of 85273 and 85280?

Answer:

Least Common Multiple of 85273 and 85280 = 7272081440

Step 1: Find the prime factorization of 85273

85273 = 269 x 317

Step 2: Find the prime factorization of 85280

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

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

LCM = 7272081440 = 2 x 2 x 2 x 2 x 2 x 5 x 13 x 41 x 269 x 317

Step 4: Therefore, the least common multiple of 85273 and 85280 is 7272081440.