Least Common Multiple of 310449 and 310456

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 310456 the smallest integer that is 96380754744 that is divisible by both numbers.

Least Common Multiple (LCM) of 310449 and 310456 is 96380754744.

LCM(310449,310456) = 96380754744

LCM of 310449 and 310456

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

LCM of:
and

Least Common Multiple of 310449 and 310456

LCM of 310449 and 310456 is 96380754744

Least common multiple can be found by multiplying the highest exponent prime factors of 310449 and 310456. First we will calculate the prime factors of 310449 and 310456.

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 310456


2 310456
2 155228
2 77614
151 38807
257 257
1

Prime factors of 310456 are 2, 151,257. Prime factorization of 310456 in exponential form is:

310456 = 23×1511×2571

Now multiplying the highest exponent prime factors to calculate the LCM of 310449 and 310456.

LCM(310449,310456) = 23×31×1511×2571×1034831
LCM(310449,310456) = 96380754744

Factors of 310449

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

1, 3, 103483, 310449

Factors of 310456

List of positive integer factors of 310456 that divides 310456 without a remainder.

1, 2, 4, 8, 151, 257, 302, 514, 604, 1028, 1208, 2056, 38807, 77614, 155228, 310456

Least Common Multiple of 310449 and 310456 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 310456, than apply into the LCM equation.

GCF(310449,310456) = 1
LCM(310449,310456) = ( 310449 × 310456) / 1
LCM(310449,310456) = 96380754744 / 1
LCM(310449,310456) = 96380754744

Properties of LCM 310449 and 310456

(i) The LCM of 310456 and 310449 is associative

LCM of 310449 and 310456 = LCM of 310456 and 310449

Related Least Common Multiples of 310449

Related Least Common Multiples of 310456

Frequently Asked Questions on LCM of 310449 and 310456

1. What is the LCM of 310449 and 310456?

Answer: LCM of 310449 and 310456 is 96380754744.

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 310456?

Answer: Factors of 310456 are 1, 2, 4, 8, 151, 257, 302, 514, 604, 1028, 1208, 2056, 38807, 77614, 155228, 310456. There are 16 integers that are factors of 310456. The greatest factor of 310456 is 310456.

4. How to Find the LCM of 310449 and 310456?

Answer:

Least Common Multiple of 310449 and 310456 = 96380754744

Step 1: Find the prime factorization of 310449

310449 = 3 x 103483

Step 2: Find the prime factorization of 310456

310456 = 2 x 2 x 2 x 151 x 257

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

LCM = 96380754744 = 2 x 2 x 2 x 3 x 151 x 257 x 103483

Step 4: Therefore, the least common multiple of 310449 and 310456 is 96380754744.