Least Common Multiple of 309475 and 309480

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 309475 and 309480 the smallest integer that is 19155264600 that is divisible by both numbers.

Least Common Multiple (LCM) of 309475 and 309480 is 19155264600.

LCM(309475,309480) = 19155264600

LCM of 309475 and 309480

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

LCM of:
and

Least Common Multiple of 309475 and 309480

LCM of 309475 and 309480 is 19155264600

Least common multiple can be found by multiplying the highest exponent prime factors of 309475 and 309480. First we will calculate the prime factors of 309475 and 309480.

Prime Factorization of 309475


5 309475
5 61895
12379 12379
1

Prime factors of 309475 are 5,12379. Prime factorization of 309475 in exponential form is:

309475 = 52×123791

Prime Factorization of 309480


2 309480
2 154740
2 77370
3 38685
5 12895
2579 2579
1

Prime factors of 309480 are 2, 3, 5,2579. Prime factorization of 309480 in exponential form is:

309480 = 23×31×51×25791

Now multiplying the highest exponent prime factors to calculate the LCM of 309475 and 309480.

LCM(309475,309480) = 23×31×52×25791×123791
LCM(309475,309480) = 19155264600

Factors of 309475

List of positive integer factors of 309475 that divides 309475 without a remainder.

1, 5, 25, 12379, 61895, 309475

Factors of 309480

List of positive integer factors of 309480 that divides 309480 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 2579, 5158, 7737, 10316, 12895, 15474, 20632, 25790, 30948, 38685, 51580, 61896, 77370, 103160, 154740, 309480

Least Common Multiple of 309475 and 309480 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 309475 and 309480, than apply into the LCM equation.

GCF(309475,309480) = 5
LCM(309475,309480) = ( 309475 × 309480) / 5
LCM(309475,309480) = 95776323000 / 5
LCM(309475,309480) = 19155264600

Properties of LCM 309475 and 309480

(i) The LCM of 309480 and 309475 is associative

LCM of 309475 and 309480 = LCM of 309480 and 309475

Related Least Common Multiples of 309475

Related Least Common Multiples of 309480

Frequently Asked Questions on LCM of 309475 and 309480

1. What is the LCM of 309475 and 309480?

Answer: LCM of 309475 and 309480 is 19155264600.

2. What are the Factors of 309475?

Answer: Factors of 309475 are 1, 5, 25, 12379, 61895, 309475. There are 6 integers that are factors of 309475. The greatest factor of 309475 is 309475.

3. What are the Factors of 309480?

Answer: Factors of 309480 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 2579, 5158, 7737, 10316, 12895, 15474, 20632, 25790, 30948, 38685, 51580, 61896, 77370, 103160, 154740, 309480. There are 32 integers that are factors of 309480. The greatest factor of 309480 is 309480.

4. How to Find the LCM of 309475 and 309480?

Answer:

Least Common Multiple of 309475 and 309480 = 19155264600

Step 1: Find the prime factorization of 309475

309475 = 5 x 5 x 12379

Step 2: Find the prime factorization of 309480

309480 = 2 x 2 x 2 x 3 x 5 x 2579

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

LCM = 19155264600 = 2 x 2 x 2 x 3 x 5 x 5 x 2579 x 12379

Step 4: Therefore, the least common multiple of 309475 and 309480 is 19155264600.