Least Common Multiple of 321481 and 321488

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 321488 the smallest integer that is 103352283728 that is divisible by both numbers.

Least Common Multiple (LCM) of 321481 and 321488 is 103352283728.

LCM(321481,321488) = 103352283728

LCM of 321481 and 321488

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

LCM of:
and

Least Common Multiple of 321481 and 321488

LCM of 321481 and 321488 is 103352283728

Least common multiple can be found by multiplying the highest exponent prime factors of 321481 and 321488. First we will calculate the prime factors of 321481 and 321488.

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 321488


2 321488
2 160744
2 80372
2 40186
71 20093
283 283
1

Prime factors of 321488 are 2, 71,283. Prime factorization of 321488 in exponential form is:

321488 = 24×711×2831

Now multiplying the highest exponent prime factors to calculate the LCM of 321481 and 321488.

LCM(321481,321488) = 24×411×711×2831×78411
LCM(321481,321488) = 103352283728

Factors of 321481

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

1, 41, 7841, 321481

Factors of 321488

List of positive integer factors of 321488 that divides 321488 without a remainder.

1, 2, 4, 8, 16, 71, 142, 283, 284, 566, 568, 1132, 1136, 2264, 4528, 20093, 40186, 80372, 160744, 321488

Least Common Multiple of 321481 and 321488 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 321488, than apply into the LCM equation.

GCF(321481,321488) = 1
LCM(321481,321488) = ( 321481 × 321488) / 1
LCM(321481,321488) = 103352283728 / 1
LCM(321481,321488) = 103352283728

Properties of LCM 321481 and 321488

(i) The LCM of 321488 and 321481 is associative

LCM of 321481 and 321488 = LCM of 321488 and 321481

Related Least Common Multiples of 321481

Related Least Common Multiples of 321488

Frequently Asked Questions on LCM of 321481 and 321488

1. What is the LCM of 321481 and 321488?

Answer: LCM of 321481 and 321488 is 103352283728.

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 321488?

Answer: Factors of 321488 are 1, 2, 4, 8, 16, 71, 142, 283, 284, 566, 568, 1132, 1136, 2264, 4528, 20093, 40186, 80372, 160744, 321488. There are 20 integers that are factors of 321488. The greatest factor of 321488 is 321488.

4. How to Find the LCM of 321481 and 321488?

Answer:

Least Common Multiple of 321481 and 321488 = 103352283728

Step 1: Find the prime factorization of 321481

321481 = 41 x 7841

Step 2: Find the prime factorization of 321488

321488 = 2 x 2 x 2 x 2 x 71 x 283

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

LCM = 103352283728 = 2 x 2 x 2 x 2 x 41 x 71 x 283 x 7841

Step 4: Therefore, the least common multiple of 321481 and 321488 is 103352283728.