Least Common Multiple of 310433 and 310438

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 310433 and 310438 the smallest integer that is 96370199654 that is divisible by both numbers.

Least Common Multiple (LCM) of 310433 and 310438 is 96370199654.

LCM(310433,310438) = 96370199654

LCM of 310433 and 310438

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

LCM of:
and

Least Common Multiple of 310433 and 310438

LCM of 310433 and 310438 is 96370199654

Least common multiple can be found by multiplying the highest exponent prime factors of 310433 and 310438. First we will calculate the prime factors of 310433 and 310438.

Prime Factorization of 310433


310433 310433
1

Prime factors of 310433 are 310433. Prime factorization of 310433 in exponential form is:

310433 = 3104331

Prime Factorization of 310438


2 310438
155219 155219
1

Prime factors of 310438 are 2,155219. Prime factorization of 310438 in exponential form is:

310438 = 21×1552191

Now multiplying the highest exponent prime factors to calculate the LCM of 310433 and 310438.

LCM(310433,310438) = 21×1552191×3104331
LCM(310433,310438) = 96370199654

Factors of 310433

List of positive integer factors of 310433 that divides 310433 without a remainder.

1, 310433

Factors of 310438

List of positive integer factors of 310438 that divides 310438 without a remainder.

1, 2, 155219, 310438

Least Common Multiple of 310433 and 310438 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 310433 and 310438, than apply into the LCM equation.

GCF(310433,310438) = 1
LCM(310433,310438) = ( 310433 × 310438) / 1
LCM(310433,310438) = 96370199654 / 1
LCM(310433,310438) = 96370199654

Properties of LCM 310433 and 310438

(i) The LCM of 310438 and 310433 is associative

LCM of 310433 and 310438 = LCM of 310438 and 310433

Related Least Common Multiples of 310433

Related Least Common Multiples of 310438

Frequently Asked Questions on LCM of 310433 and 310438

1. What is the LCM of 310433 and 310438?

Answer: LCM of 310433 and 310438 is 96370199654.

2. What are the Factors of 310433?

Answer: Factors of 310433 are 1, 310433. There are 2 integers that are factors of 310433. The greatest factor of 310433 is 310433.

3. What are the Factors of 310438?

Answer: Factors of 310438 are 1, 2, 155219, 310438. There are 4 integers that are factors of 310438. The greatest factor of 310438 is 310438.

4. How to Find the LCM of 310433 and 310438?

Answer:

Least Common Multiple of 310433 and 310438 = 96370199654

Step 1: Find the prime factorization of 310433

310433 = 310433

Step 2: Find the prime factorization of 310438

310438 = 2 x 155219

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

LCM = 96370199654 = 2 x 155219 x 310433

Step 4: Therefore, the least common multiple of 310433 and 310438 is 96370199654.