Least Common Multiple of 310448 and 310452

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 310448 and 310452 the smallest integer that is 24094800624 that is divisible by both numbers.

Least Common Multiple (LCM) of 310448 and 310452 is 24094800624.

LCM(310448,310452) = 24094800624

LCM of 310448 and 310452

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

LCM of:
and

Least Common Multiple of 310448 and 310452

LCM of 310448 and 310452 is 24094800624

Least common multiple can be found by multiplying the highest exponent prime factors of 310448 and 310452. First we will calculate the prime factors of 310448 and 310452.

Prime Factorization of 310448


2 310448
2 155224
2 77612
2 38806
19403 19403
1

Prime factors of 310448 are 2,19403. Prime factorization of 310448 in exponential form is:

310448 = 24×194031

Prime Factorization of 310452


2 310452
2 155226
3 77613
41 25871
631 631
1

Prime factors of 310452 are 2, 3, 41,631. Prime factorization of 310452 in exponential form is:

310452 = 22×31×411×6311

Now multiplying the highest exponent prime factors to calculate the LCM of 310448 and 310452.

LCM(310448,310452) = 24×31×411×6311×194031
LCM(310448,310452) = 24094800624

Factors of 310448

List of positive integer factors of 310448 that divides 310448 without a remainder.

1, 2, 4, 8, 16, 19403, 38806, 77612, 155224, 310448

Factors of 310452

List of positive integer factors of 310452 that divides 310452 without a remainder.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492, 631, 1262, 1893, 2524, 3786, 7572, 25871, 51742, 77613, 103484, 155226, 310452

Least Common Multiple of 310448 and 310452 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 310448 and 310452, than apply into the LCM equation.

GCF(310448,310452) = 4
LCM(310448,310452) = ( 310448 × 310452) / 4
LCM(310448,310452) = 96379202496 / 4
LCM(310448,310452) = 24094800624

Properties of LCM 310448 and 310452

(i) The LCM of 310452 and 310448 is associative

LCM of 310448 and 310452 = LCM of 310452 and 310448

Related Least Common Multiples of 310448

Related Least Common Multiples of 310452

Frequently Asked Questions on LCM of 310448 and 310452

1. What is the LCM of 310448 and 310452?

Answer: LCM of 310448 and 310452 is 24094800624.

2. What are the Factors of 310448?

Answer: Factors of 310448 are 1, 2, 4, 8, 16, 19403, 38806, 77612, 155224, 310448. There are 10 integers that are factors of 310448. The greatest factor of 310448 is 310448.

3. What are the Factors of 310452?

Answer: Factors of 310452 are 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492, 631, 1262, 1893, 2524, 3786, 7572, 25871, 51742, 77613, 103484, 155226, 310452. There are 24 integers that are factors of 310452. The greatest factor of 310452 is 310452.

4. How to Find the LCM of 310448 and 310452?

Answer:

Least Common Multiple of 310448 and 310452 = 24094800624

Step 1: Find the prime factorization of 310448

310448 = 2 x 2 x 2 x 2 x 19403

Step 2: Find the prime factorization of 310452

310452 = 2 x 2 x 3 x 41 x 631

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

LCM = 24094800624 = 2 x 2 x 2 x 2 x 3 x 41 x 631 x 19403

Step 4: Therefore, the least common multiple of 310448 and 310452 is 24094800624.