Least Common Multiple of 309448 and 309452

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 309448 and 309452 the smallest integer that is 23939825624 that is divisible by both numbers.

Least Common Multiple (LCM) of 309448 and 309452 is 23939825624.

LCM(309448,309452) = 23939825624

LCM of 309448 and 309452

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

LCM of:
and

Least Common Multiple of 309448 and 309452

LCM of 309448 and 309452 is 23939825624

Least common multiple can be found by multiplying the highest exponent prime factors of 309448 and 309452. First we will calculate the prime factors of 309448 and 309452.

Prime Factorization of 309448


2 309448
2 154724
2 77362
47 38681
823 823
1

Prime factors of 309448 are 2, 47,823. Prime factorization of 309448 in exponential form is:

309448 = 23×471×8231

Prime Factorization of 309452


2 309452
2 154726
11 77363
13 7033
541 541
1

Prime factors of 309452 are 2, 11, 13,541. Prime factorization of 309452 in exponential form is:

309452 = 22×111×131×5411

Now multiplying the highest exponent prime factors to calculate the LCM of 309448 and 309452.

LCM(309448,309452) = 23×111×131×471×5411×8231
LCM(309448,309452) = 23939825624

Factors of 309448

List of positive integer factors of 309448 that divides 309448 without a remainder.

1, 2, 4, 8, 47, 94, 188, 376, 823, 1646, 3292, 6584, 38681, 77362, 154724, 309448

Factors of 309452

List of positive integer factors of 309452 that divides 309452 without a remainder.

1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 541, 572, 1082, 2164, 5951, 7033, 11902, 14066, 23804, 28132, 77363, 154726, 309452

Least Common Multiple of 309448 and 309452 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 309448 and 309452, than apply into the LCM equation.

GCF(309448,309452) = 4
LCM(309448,309452) = ( 309448 × 309452) / 4
LCM(309448,309452) = 95759302496 / 4
LCM(309448,309452) = 23939825624

Properties of LCM 309448 and 309452

(i) The LCM of 309452 and 309448 is associative

LCM of 309448 and 309452 = LCM of 309452 and 309448

Related Least Common Multiples of 309448

Related Least Common Multiples of 309452

Frequently Asked Questions on LCM of 309448 and 309452

1. What is the LCM of 309448 and 309452?

Answer: LCM of 309448 and 309452 is 23939825624.

2. What are the Factors of 309448?

Answer: Factors of 309448 are 1, 2, 4, 8, 47, 94, 188, 376, 823, 1646, 3292, 6584, 38681, 77362, 154724, 309448. There are 16 integers that are factors of 309448. The greatest factor of 309448 is 309448.

3. What are the Factors of 309452?

Answer: Factors of 309452 are 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 541, 572, 1082, 2164, 5951, 7033, 11902, 14066, 23804, 28132, 77363, 154726, 309452. There are 24 integers that are factors of 309452. The greatest factor of 309452 is 309452.

4. How to Find the LCM of 309448 and 309452?

Answer:

Least Common Multiple of 309448 and 309452 = 23939825624

Step 1: Find the prime factorization of 309448

309448 = 2 x 2 x 2 x 47 x 823

Step 2: Find the prime factorization of 309452

309452 = 2 x 2 x 11 x 13 x 541

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

LCM = 23939825624 = 2 x 2 x 2 x 11 x 13 x 47 x 541 x 823

Step 4: Therefore, the least common multiple of 309448 and 309452 is 23939825624.