Least Common Multiple of 321481 and 321489

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 321481 and 321489 the smallest integer that is 103352605209 that is divisible by both numbers.

Least Common Multiple (LCM) of 321481 and 321489 is 103352605209.

LCM(321481,321489) = 103352605209

LCM of 321481 and 321489

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

LCM of:
and

Least Common Multiple of 321481 and 321489

LCM of 321481 and 321489 is 103352605209

Least common multiple can be found by multiplying the highest exponent prime factors of 321481 and 321489. First we will calculate the prime factors of 321481 and 321489.

Prime Factorization of 321481


41 321481
7841 7841
1

Prime factors of 321481 are 41,7841. Prime factorization of 321481 in exponential form is:

321481 = 411×78411

Prime Factorization of 321489


3 321489
3 107163
3 35721
3 11907
3 3969
3 1323
3 441
3 147
7 49
7 7
1

Prime factors of 321489 are 3,7. Prime factorization of 321489 in exponential form is:

321489 = 38×72

Now multiplying the highest exponent prime factors to calculate the LCM of 321481 and 321489.

LCM(321481,321489) = 38×72×411×78411
LCM(321481,321489) = 103352605209

Factors of 321481

List of positive integer factors of 321481 that divides 321481 without a remainder.

1, 41, 7841, 321481

Factors of 321489

List of positive integer factors of 321489 that divides 321489 without a remainder.

1, 3, 7, 9, 21, 27, 49, 63, 81, 147, 189, 243, 441, 567, 729, 1323, 1701, 2187, 3969, 5103, 6561, 11907, 15309, 35721, 45927, 107163, 321489

Least Common Multiple of 321481 and 321489 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 321481 and 321489, than apply into the LCM equation.

GCF(321481,321489) = 1
LCM(321481,321489) = ( 321481 × 321489) / 1
LCM(321481,321489) = 103352605209 / 1
LCM(321481,321489) = 103352605209

Properties of LCM 321481 and 321489

(i) The LCM of 321489 and 321481 is associative

LCM of 321481 and 321489 = LCM of 321489 and 321481

Related Least Common Multiples of 321481

Related Least Common Multiples of 321489

Frequently Asked Questions on LCM of 321481 and 321489

1. What is the LCM of 321481 and 321489?

Answer: LCM of 321481 and 321489 is 103352605209.

2. What are the Factors of 321481?

Answer: Factors of 321481 are 1, 41, 7841, 321481. There are 4 integers that are factors of 321481. The greatest factor of 321481 is 321481.

3. What are the Factors of 321489?

Answer: Factors of 321489 are 1, 3, 7, 9, 21, 27, 49, 63, 81, 147, 189, 243, 441, 567, 729, 1323, 1701, 2187, 3969, 5103, 6561, 11907, 15309, 35721, 45927, 107163, 321489. There are 27 integers that are factors of 321489. The greatest factor of 321489 is 321489.

4. How to Find the LCM of 321481 and 321489?

Answer:

Least Common Multiple of 321481 and 321489 = 103352605209

Step 1: Find the prime factorization of 321481

321481 = 41 x 7841

Step 2: Find the prime factorization of 321489

321489 = 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 7 x 7

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

LCM = 103352605209 = 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 7 x 7 x 41 x 7841

Step 4: Therefore, the least common multiple of 321481 and 321489 is 103352605209.