Least Common Multiple of 310455 and 310460

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 310455 and 310460 the smallest integer that is 19276771860 that is divisible by both numbers.

Least Common Multiple (LCM) of 310455 and 310460 is 19276771860.

LCM(310455,310460) = 19276771860

LCM of 310455 and 310460

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

LCM of:
and

Least Common Multiple of 310455 and 310460

LCM of 310455 and 310460 is 19276771860

Least common multiple can be found by multiplying the highest exponent prime factors of 310455 and 310460. First we will calculate the prime factors of 310455 and 310460.

Prime Factorization of 310455


3 310455
3 103485
5 34495
6899 6899
1

Prime factors of 310455 are 3, 5,6899. Prime factorization of 310455 in exponential form is:

310455 = 32×51×68991

Prime Factorization of 310460


2 310460
2 155230
5 77615
19 15523
19 817
43 43
1

Prime factors of 310460 are 2, 5, 19,43. Prime factorization of 310460 in exponential form is:

310460 = 22×51×192×431

Now multiplying the highest exponent prime factors to calculate the LCM of 310455 and 310460.

LCM(310455,310460) = 22×32×51×192×431×68991
LCM(310455,310460) = 19276771860

Factors of 310455

List of positive integer factors of 310455 that divides 310455 without a remainder.

1, 3, 5, 9, 15, 45, 6899, 20697, 34495, 62091, 103485, 310455

Factors of 310460

List of positive integer factors of 310460 that divides 310460 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 43, 76, 86, 95, 172, 190, 215, 361, 380, 430, 722, 817, 860, 1444, 1634, 1805, 3268, 3610, 4085, 7220, 8170, 15523, 16340, 31046, 62092, 77615, 155230, 310460

Least Common Multiple of 310455 and 310460 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 310455 and 310460, than apply into the LCM equation.

GCF(310455,310460) = 5
LCM(310455,310460) = ( 310455 × 310460) / 5
LCM(310455,310460) = 96383859300 / 5
LCM(310455,310460) = 19276771860

Properties of LCM 310455 and 310460

(i) The LCM of 310460 and 310455 is associative

LCM of 310455 and 310460 = LCM of 310460 and 310455

Related Least Common Multiples of 310455

Related Least Common Multiples of 310460

Frequently Asked Questions on LCM of 310455 and 310460

1. What is the LCM of 310455 and 310460?

Answer: LCM of 310455 and 310460 is 19276771860.

2. What are the Factors of 310455?

Answer: Factors of 310455 are 1, 3, 5, 9, 15, 45, 6899, 20697, 34495, 62091, 103485, 310455. There are 12 integers that are factors of 310455. The greatest factor of 310455 is 310455.

3. What are the Factors of 310460?

Answer: Factors of 310460 are 1, 2, 4, 5, 10, 19, 20, 38, 43, 76, 86, 95, 172, 190, 215, 361, 380, 430, 722, 817, 860, 1444, 1634, 1805, 3268, 3610, 4085, 7220, 8170, 15523, 16340, 31046, 62092, 77615, 155230, 310460. There are 36 integers that are factors of 310460. The greatest factor of 310460 is 310460.

4. How to Find the LCM of 310455 and 310460?

Answer:

Least Common Multiple of 310455 and 310460 = 19276771860

Step 1: Find the prime factorization of 310455

310455 = 3 x 3 x 5 x 6899

Step 2: Find the prime factorization of 310460

310460 = 2 x 2 x 5 x 19 x 19 x 43

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

LCM = 19276771860 = 2 x 2 x 3 x 3 x 5 x 19 x 19 x 43 x 6899

Step 4: Therefore, the least common multiple of 310455 and 310460 is 19276771860.