Least Common Multiple of 310446 and 310453

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 310446 and 310453 the smallest integer that is 96378892038 that is divisible by both numbers.

Least Common Multiple (LCM) of 310446 and 310453 is 96378892038.

LCM(310446,310453) = 96378892038

LCM of 310446 and 310453

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

LCM of:
and

Least Common Multiple of 310446 and 310453

LCM of 310446 and 310453 is 96378892038

Least common multiple can be found by multiplying the highest exponent prime factors of 310446 and 310453. First we will calculate the prime factors of 310446 and 310453.

Prime Factorization of 310446


2 310446
3 155223
3 51741
3 17247
5749 5749
1

Prime factors of 310446 are 2, 3,5749. Prime factorization of 310446 in exponential form is:

310446 = 21×33×57491

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

Now multiplying the highest exponent prime factors to calculate the LCM of 310446 and 310453.

LCM(310446,310453) = 21×33×111×132×1671×57491
LCM(310446,310453) = 96378892038

Factors of 310446

List of positive integer factors of 310446 that divides 310446 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 5749, 11498, 17247, 34494, 51741, 103482, 155223, 310446

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

Least Common Multiple of 310446 and 310453 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 310446 and 310453, than apply into the LCM equation.

GCF(310446,310453) = 1
LCM(310446,310453) = ( 310446 × 310453) / 1
LCM(310446,310453) = 96378892038 / 1
LCM(310446,310453) = 96378892038

Properties of LCM 310446 and 310453

(i) The LCM of 310453 and 310446 is associative

LCM of 310446 and 310453 = LCM of 310453 and 310446

Related Least Common Multiples of 310446

Related Least Common Multiples of 310453

Frequently Asked Questions on LCM of 310446 and 310453

1. What is the LCM of 310446 and 310453?

Answer: LCM of 310446 and 310453 is 96378892038.

2. What are the Factors of 310446?

Answer: Factors of 310446 are 1, 2, 3, 6, 9, 18, 27, 54, 5749, 11498, 17247, 34494, 51741, 103482, 155223, 310446. There are 16 integers that are factors of 310446. The greatest factor of 310446 is 310446.

3. 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.

4. How to Find the LCM of 310446 and 310453?

Answer:

Least Common Multiple of 310446 and 310453 = 96378892038

Step 1: Find the prime factorization of 310446

310446 = 2 x 3 x 3 x 3 x 5749

Step 2: Find the prime factorization of 310453

310453 = 11 x 13 x 13 x 167

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

LCM = 96378892038 = 2 x 3 x 3 x 3 x 11 x 13 x 13 x 167 x 5749

Step 4: Therefore, the least common multiple of 310446 and 310453 is 96378892038.