Least Common Multiple of 309435 and 309440

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 309435 and 309440 the smallest integer that is 19150313280 that is divisible by both numbers.

Least Common Multiple (LCM) of 309435 and 309440 is 19150313280.

LCM(309435,309440) = 19150313280

LCM of 309435 and 309440

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

LCM of:
and

Least Common Multiple of 309435 and 309440

LCM of 309435 and 309440 is 19150313280

Least common multiple can be found by multiplying the highest exponent prime factors of 309435 and 309440. First we will calculate the prime factors of 309435 and 309440.

Prime Factorization of 309435


3 309435
5 103145
7 20629
7 2947
421 421
1

Prime factors of 309435 are 3, 5, 7,421. Prime factorization of 309435 in exponential form is:

309435 = 31×51×72×4211

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

Now multiplying the highest exponent prime factors to calculate the LCM of 309435 and 309440.

LCM(309435,309440) = 26×31×51×72×4211×9671
LCM(309435,309440) = 19150313280

Factors of 309435

List of positive integer factors of 309435 that divides 309435 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 421, 735, 1263, 2105, 2947, 6315, 8841, 14735, 20629, 44205, 61887, 103145, 309435

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

Least Common Multiple of 309435 and 309440 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 309435 and 309440, than apply into the LCM equation.

GCF(309435,309440) = 5
LCM(309435,309440) = ( 309435 × 309440) / 5
LCM(309435,309440) = 95751566400 / 5
LCM(309435,309440) = 19150313280

Properties of LCM 309435 and 309440

(i) The LCM of 309440 and 309435 is associative

LCM of 309435 and 309440 = LCM of 309440 and 309435

Related Least Common Multiples of 309435

Related Least Common Multiples of 309440

Frequently Asked Questions on LCM of 309435 and 309440

1. What is the LCM of 309435 and 309440?

Answer: LCM of 309435 and 309440 is 19150313280.

2. What are the Factors of 309435?

Answer: Factors of 309435 are 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 421, 735, 1263, 2105, 2947, 6315, 8841, 14735, 20629, 44205, 61887, 103145, 309435. There are 24 integers that are factors of 309435. The greatest factor of 309435 is 309435.

3. 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.

4. How to Find the LCM of 309435 and 309440?

Answer:

Least Common Multiple of 309435 and 309440 = 19150313280

Step 1: Find the prime factorization of 309435

309435 = 3 x 5 x 7 x 7 x 421

Step 2: Find the prime factorization of 309440

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

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

LCM = 19150313280 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 7 x 7 x 421 x 967

Step 4: Therefore, the least common multiple of 309435 and 309440 is 19150313280.