Least Common Multiple of 321476 and 321484

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 321476 and 321484 the smallest integer that is 25837347596 that is divisible by both numbers.

Least Common Multiple (LCM) of 321476 and 321484 is 25837347596.

LCM(321476,321484) = 25837347596

LCM of 321476 and 321484

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

LCM of:
and

Least Common Multiple of 321476 and 321484

LCM of 321476 and 321484 is 25837347596

Least common multiple can be found by multiplying the highest exponent prime factors of 321476 and 321484. First we will calculate the prime factors of 321476 and 321484.

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

Prime Factorization of 321484


2 321484
2 160742
179 80371
449 449
1

Prime factors of 321484 are 2, 179,449. Prime factorization of 321484 in exponential form is:

321484 = 22×1791×4491

Now multiplying the highest exponent prime factors to calculate the LCM of 321476 and 321484.

LCM(321476,321484) = 22×1791×4491×803691
LCM(321476,321484) = 25837347596

Factors of 321476

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

1, 2, 4, 80369, 160738, 321476

Factors of 321484

List of positive integer factors of 321484 that divides 321484 without a remainder.

1, 2, 4, 179, 358, 449, 716, 898, 1796, 80371, 160742, 321484

Least Common Multiple of 321476 and 321484 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 321476 and 321484, than apply into the LCM equation.

GCF(321476,321484) = 4
LCM(321476,321484) = ( 321476 × 321484) / 4
LCM(321476,321484) = 103349390384 / 4
LCM(321476,321484) = 25837347596

Properties of LCM 321476 and 321484

(i) The LCM of 321484 and 321476 is associative

LCM of 321476 and 321484 = LCM of 321484 and 321476

Related Least Common Multiples of 321476

Related Least Common Multiples of 321484

Frequently Asked Questions on LCM of 321476 and 321484

1. What is the LCM of 321476 and 321484?

Answer: LCM of 321476 and 321484 is 25837347596.

2. 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.

3. What are the Factors of 321484?

Answer: Factors of 321484 are 1, 2, 4, 179, 358, 449, 716, 898, 1796, 80371, 160742, 321484. There are 12 integers that are factors of 321484. The greatest factor of 321484 is 321484.

4. How to Find the LCM of 321476 and 321484?

Answer:

Least Common Multiple of 321476 and 321484 = 25837347596

Step 1: Find the prime factorization of 321476

321476 = 2 x 2 x 80369

Step 2: Find the prime factorization of 321484

321484 = 2 x 2 x 179 x 449

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

LCM = 25837347596 = 2 x 2 x 179 x 449 x 80369

Step 4: Therefore, the least common multiple of 321476 and 321484 is 25837347596.