Least Common Multiple of 321472 and 321477

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 321472 and 321477 the smallest integer that is 103345854144 that is divisible by both numbers.

Least Common Multiple (LCM) of 321472 and 321477 is 103345854144.

LCM(321472,321477) = 103345854144

LCM of 321472 and 321477

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

LCM of:
and

Least Common Multiple of 321472 and 321477

LCM of 321472 and 321477 is 103345854144

Least common multiple can be found by multiplying the highest exponent prime factors of 321472 and 321477. First we will calculate the prime factors of 321472 and 321477.

Prime Factorization of 321472


2 321472
2 160736
2 80368
2 40184
2 20092
2 10046
5023 5023
1

Prime factors of 321472 are 2,5023. Prime factorization of 321472 in exponential form is:

321472 = 26×50231

Prime Factorization of 321477


3 321477
13 107159
8243 8243
1

Prime factors of 321477 are 3, 13,8243. Prime factorization of 321477 in exponential form is:

321477 = 31×131×82431

Now multiplying the highest exponent prime factors to calculate the LCM of 321472 and 321477.

LCM(321472,321477) = 26×31×131×50231×82431
LCM(321472,321477) = 103345854144

Factors of 321472

List of positive integer factors of 321472 that divides 321472 without a remainder.

1, 2, 4, 8, 16, 32, 64, 5023, 10046, 20092, 40184, 80368, 160736, 321472

Factors of 321477

List of positive integer factors of 321477 that divides 321477 without a remainder.

1, 3, 13, 39, 8243, 24729, 107159, 321477

Least Common Multiple of 321472 and 321477 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 321472 and 321477, than apply into the LCM equation.

GCF(321472,321477) = 1
LCM(321472,321477) = ( 321472 × 321477) / 1
LCM(321472,321477) = 103345854144 / 1
LCM(321472,321477) = 103345854144

Properties of LCM 321472 and 321477

(i) The LCM of 321477 and 321472 is associative

LCM of 321472 and 321477 = LCM of 321477 and 321472

Related Least Common Multiples of 321472

Related Least Common Multiples of 321477

Frequently Asked Questions on LCM of 321472 and 321477

1. What is the LCM of 321472 and 321477?

Answer: LCM of 321472 and 321477 is 103345854144.

2. What are the Factors of 321472?

Answer: Factors of 321472 are 1, 2, 4, 8, 16, 32, 64, 5023, 10046, 20092, 40184, 80368, 160736, 321472. There are 14 integers that are factors of 321472. The greatest factor of 321472 is 321472.

3. What are the Factors of 321477?

Answer: Factors of 321477 are 1, 3, 13, 39, 8243, 24729, 107159, 321477. There are 8 integers that are factors of 321477. The greatest factor of 321477 is 321477.

4. How to Find the LCM of 321472 and 321477?

Answer:

Least Common Multiple of 321472 and 321477 = 103345854144

Step 1: Find the prime factorization of 321472

321472 = 2 x 2 x 2 x 2 x 2 x 2 x 5023

Step 2: Find the prime factorization of 321477

321477 = 3 x 13 x 8243

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

LCM = 103345854144 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 13 x 5023 x 8243

Step 4: Therefore, the least common multiple of 321472 and 321477 is 103345854144.