Least Common Multiple of 310449 and 310455

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 310449 and 310455 the smallest integer that is 32126814765 that is divisible by both numbers.

Least Common Multiple (LCM) of 310449 and 310455 is 32126814765.

LCM(310449,310455) = 32126814765

LCM of 310449 and 310455

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

LCM of:
and

Least Common Multiple of 310449 and 310455

LCM of 310449 and 310455 is 32126814765

Least common multiple can be found by multiplying the highest exponent prime factors of 310449 and 310455. First we will calculate the prime factors of 310449 and 310455.

Prime Factorization of 310449


3 310449
103483 103483
1

Prime factors of 310449 are 3,103483. Prime factorization of 310449 in exponential form is:

310449 = 31×1034831

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

Now multiplying the highest exponent prime factors to calculate the LCM of 310449 and 310455.

LCM(310449,310455) = 32×51×68991×1034831
LCM(310449,310455) = 32126814765

Factors of 310449

List of positive integer factors of 310449 that divides 310449 without a remainder.

1, 3, 103483, 310449

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

Least Common Multiple of 310449 and 310455 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 310449 and 310455, than apply into the LCM equation.

GCF(310449,310455) = 3
LCM(310449,310455) = ( 310449 × 310455) / 3
LCM(310449,310455) = 96380444295 / 3
LCM(310449,310455) = 32126814765

Properties of LCM 310449 and 310455

(i) The LCM of 310455 and 310449 is associative

LCM of 310449 and 310455 = LCM of 310455 and 310449

Related Least Common Multiples of 310449

Related Least Common Multiples of 310455

Frequently Asked Questions on LCM of 310449 and 310455

1. What is the LCM of 310449 and 310455?

Answer: LCM of 310449 and 310455 is 32126814765.

2. What are the Factors of 310449?

Answer: Factors of 310449 are 1, 3, 103483, 310449. There are 4 integers that are factors of 310449. The greatest factor of 310449 is 310449.

3. 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.

4. How to Find the LCM of 310449 and 310455?

Answer:

Least Common Multiple of 310449 and 310455 = 32126814765

Step 1: Find the prime factorization of 310449

310449 = 3 x 103483

Step 2: Find the prime factorization of 310455

310455 = 3 x 3 x 5 x 6899

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

LCM = 32126814765 = 3 x 3 x 5 x 6899 x 103483

Step 4: Therefore, the least common multiple of 310449 and 310455 is 32126814765.