Least Common Multiple of 309440 and 309448

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 309440 and 309448 the smallest integer that is 11969448640 that is divisible by both numbers.

Least Common Multiple (LCM) of 309440 and 309448 is 11969448640.

LCM(309440,309448) = 11969448640

LCM of 309440 and 309448

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

LCM of:
and

Least Common Multiple of 309440 and 309448

LCM of 309440 and 309448 is 11969448640

Least common multiple can be found by multiplying the highest exponent prime factors of 309440 and 309448. First we will calculate the prime factors of 309440 and 309448.

Prime Factorization of 309440


2 309440
2 154720
2 77360
2 38680
2 19340
2 9670
5 4835
967 967
1

Prime factors of 309440 are 2, 5,967. Prime factorization of 309440 in exponential form is:

309440 = 26×51×9671

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

Now multiplying the highest exponent prime factors to calculate the LCM of 309440 and 309448.

LCM(309440,309448) = 26×51×471×8231×9671
LCM(309440,309448) = 11969448640

Factors of 309440

List of positive integer factors of 309440 that divides 309440 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320, 967, 1934, 3868, 4835, 7736, 9670, 15472, 19340, 30944, 38680, 61888, 77360, 154720, 309440

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

Least Common Multiple of 309440 and 309448 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 309440 and 309448, than apply into the LCM equation.

GCF(309440,309448) = 8
LCM(309440,309448) = ( 309440 × 309448) / 8
LCM(309440,309448) = 95755589120 / 8
LCM(309440,309448) = 11969448640

Properties of LCM 309440 and 309448

(i) The LCM of 309448 and 309440 is associative

LCM of 309440 and 309448 = LCM of 309448 and 309440

Related Least Common Multiples of 309440

Related Least Common Multiples of 309448

Frequently Asked Questions on LCM of 309440 and 309448

1. What is the LCM of 309440 and 309448?

Answer: LCM of 309440 and 309448 is 11969448640.

2. What are the Factors of 309440?

Answer: Factors of 309440 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320, 967, 1934, 3868, 4835, 7736, 9670, 15472, 19340, 30944, 38680, 61888, 77360, 154720, 309440. There are 28 integers that are factors of 309440. The greatest factor of 309440 is 309440.

3. 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.

4. How to Find the LCM of 309440 and 309448?

Answer:

Least Common Multiple of 309440 and 309448 = 11969448640

Step 1: Find the prime factorization of 309440

309440 = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 967

Step 2: Find the prime factorization of 309448

309448 = 2 x 2 x 2 x 47 x 823

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

LCM = 11969448640 = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 47 x 823 x 967

Step 4: Therefore, the least common multiple of 309440 and 309448 is 11969448640.