Least Common Multiple of 321469 and 321476

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 321469 and 321476 the smallest integer that is 103344568244 that is divisible by both numbers.

Least Common Multiple (LCM) of 321469 and 321476 is 103344568244.

LCM(321469,321476) = 103344568244

LCM of 321469 and 321476

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

LCM of:
and

Least Common Multiple of 321469 and 321476

LCM of 321469 and 321476 is 103344568244

Least common multiple can be found by multiplying the highest exponent prime factors of 321469 and 321476. First we will calculate the prime factors of 321469 and 321476.

Prime Factorization of 321469


321469 321469
1

Prime factors of 321469 are 321469. Prime factorization of 321469 in exponential form is:

321469 = 3214691

Prime Factorization of 321476


2 321476
2 160738
80369 80369
1

Prime factors of 321476 are 2,80369. Prime factorization of 321476 in exponential form is:

321476 = 22×803691

Now multiplying the highest exponent prime factors to calculate the LCM of 321469 and 321476.

LCM(321469,321476) = 22×803691×3214691
LCM(321469,321476) = 103344568244

Factors of 321469

List of positive integer factors of 321469 that divides 321469 without a remainder.

1, 321469

Factors of 321476

List of positive integer factors of 321476 that divides 321476 without a remainder.

1, 2, 4, 80369, 160738, 321476

Least Common Multiple of 321469 and 321476 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 321469 and 321476, than apply into the LCM equation.

GCF(321469,321476) = 1
LCM(321469,321476) = ( 321469 × 321476) / 1
LCM(321469,321476) = 103344568244 / 1
LCM(321469,321476) = 103344568244

Properties of LCM 321469 and 321476

(i) The LCM of 321476 and 321469 is associative

LCM of 321469 and 321476 = LCM of 321476 and 321469

Related Least Common Multiples of 321469

Related Least Common Multiples of 321476

Frequently Asked Questions on LCM of 321469 and 321476

1. What is the LCM of 321469 and 321476?

Answer: LCM of 321469 and 321476 is 103344568244.

2. What are the Factors of 321469?

Answer: Factors of 321469 are 1, 321469. There are 2 integers that are factors of 321469. The greatest factor of 321469 is 321469.

3. What are the Factors of 321476?

Answer: Factors of 321476 are 1, 2, 4, 80369, 160738, 321476. There are 6 integers that are factors of 321476. The greatest factor of 321476 is 321476.

4. How to Find the LCM of 321469 and 321476?

Answer:

Least Common Multiple of 321469 and 321476 = 103344568244

Step 1: Find the prime factorization of 321469

321469 = 321469

Step 2: Find the prime factorization of 321476

321476 = 2 x 2 x 80369

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

LCM = 103344568244 = 2 x 2 x 80369 x 321469

Step 4: Therefore, the least common multiple of 321469 and 321476 is 103344568244.