Least Common Multiple of 310453 and 310458

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 310453 and 310458 the smallest integer that is 96382617474 that is divisible by both numbers.

Least Common Multiple (LCM) of 310453 and 310458 is 96382617474.

LCM(310453,310458) = 96382617474

LCM of 310453 and 310458

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

LCM of:
and

Least Common Multiple of 310453 and 310458

LCM of 310453 and 310458 is 96382617474

Least common multiple can be found by multiplying the highest exponent prime factors of 310453 and 310458. First we will calculate the prime factors of 310453 and 310458.

Prime Factorization of 310453


11 310453
13 28223
13 2171
167 167
1

Prime factors of 310453 are 11, 13,167. Prime factorization of 310453 in exponential form is:

310453 = 111×132×1671

Prime Factorization of 310458


2 310458
3 155229
59 51743
877 877
1

Prime factors of 310458 are 2, 3, 59,877. Prime factorization of 310458 in exponential form is:

310458 = 21×31×591×8771

Now multiplying the highest exponent prime factors to calculate the LCM of 310453 and 310458.

LCM(310453,310458) = 21×31×111×132×591×1671×8771
LCM(310453,310458) = 96382617474

Factors of 310453

List of positive integer factors of 310453 that divides 310453 without a remainder.

1, 11, 13, 143, 167, 169, 1837, 1859, 2171, 23881, 28223, 310453

Factors of 310458

List of positive integer factors of 310458 that divides 310458 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354, 877, 1754, 2631, 5262, 51743, 103486, 155229, 310458

Least Common Multiple of 310453 and 310458 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 310453 and 310458, than apply into the LCM equation.

GCF(310453,310458) = 1
LCM(310453,310458) = ( 310453 × 310458) / 1
LCM(310453,310458) = 96382617474 / 1
LCM(310453,310458) = 96382617474

Properties of LCM 310453 and 310458

(i) The LCM of 310458 and 310453 is associative

LCM of 310453 and 310458 = LCM of 310458 and 310453

Related Least Common Multiples of 310453

Related Least Common Multiples of 310458

Frequently Asked Questions on LCM of 310453 and 310458

1. What is the LCM of 310453 and 310458?

Answer: LCM of 310453 and 310458 is 96382617474.

2. What are the Factors of 310453?

Answer: Factors of 310453 are 1, 11, 13, 143, 167, 169, 1837, 1859, 2171, 23881, 28223, 310453. There are 12 integers that are factors of 310453. The greatest factor of 310453 is 310453.

3. What are the Factors of 310458?

Answer: Factors of 310458 are 1, 2, 3, 6, 59, 118, 177, 354, 877, 1754, 2631, 5262, 51743, 103486, 155229, 310458. There are 16 integers that are factors of 310458. The greatest factor of 310458 is 310458.

4. How to Find the LCM of 310453 and 310458?

Answer:

Least Common Multiple of 310453 and 310458 = 96382617474

Step 1: Find the prime factorization of 310453

310453 = 11 x 13 x 13 x 167

Step 2: Find the prime factorization of 310458

310458 = 2 x 3 x 59 x 877

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

LCM = 96382617474 = 2 x 3 x 11 x 13 x 13 x 59 x 167 x 877

Step 4: Therefore, the least common multiple of 310453 and 310458 is 96382617474.