Least Common Multiple of 321465 and 321472

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 321465 and 321472 the smallest integer that is 103341996480 that is divisible by both numbers.

Least Common Multiple (LCM) of 321465 and 321472 is 103341996480.

LCM(321465,321472) = 103341996480

LCM of 321465 and 321472

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

LCM of:
and

Least Common Multiple of 321465 and 321472

LCM of 321465 and 321472 is 103341996480

Least common multiple can be found by multiplying the highest exponent prime factors of 321465 and 321472. First we will calculate the prime factors of 321465 and 321472.

Prime Factorization of 321465


3 321465
5 107155
29 21431
739 739
1

Prime factors of 321465 are 3, 5, 29,739. Prime factorization of 321465 in exponential form is:

321465 = 31×51×291×7391

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

Now multiplying the highest exponent prime factors to calculate the LCM of 321465 and 321472.

LCM(321465,321472) = 26×31×51×291×7391×50231
LCM(321465,321472) = 103341996480

Factors of 321465

List of positive integer factors of 321465 that divides 321465 without a remainder.

1, 3, 5, 15, 29, 87, 145, 435, 739, 2217, 3695, 11085, 21431, 64293, 107155, 321465

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

Least Common Multiple of 321465 and 321472 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 321465 and 321472, than apply into the LCM equation.

GCF(321465,321472) = 1
LCM(321465,321472) = ( 321465 × 321472) / 1
LCM(321465,321472) = 103341996480 / 1
LCM(321465,321472) = 103341996480

Properties of LCM 321465 and 321472

(i) The LCM of 321472 and 321465 is associative

LCM of 321465 and 321472 = LCM of 321472 and 321465

Related Least Common Multiples of 321465

Related Least Common Multiples of 321472

Frequently Asked Questions on LCM of 321465 and 321472

1. What is the LCM of 321465 and 321472?

Answer: LCM of 321465 and 321472 is 103341996480.

2. What are the Factors of 321465?

Answer: Factors of 321465 are 1, 3, 5, 15, 29, 87, 145, 435, 739, 2217, 3695, 11085, 21431, 64293, 107155, 321465. There are 16 integers that are factors of 321465. The greatest factor of 321465 is 321465.

3. 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.

4. How to Find the LCM of 321465 and 321472?

Answer:

Least Common Multiple of 321465 and 321472 = 103341996480

Step 1: Find the prime factorization of 321465

321465 = 3 x 5 x 29 x 739

Step 2: Find the prime factorization of 321472

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

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

LCM = 103341996480 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 29 x 739 x 5023

Step 4: Therefore, the least common multiple of 321465 and 321472 is 103341996480.