Least Common Multiple of 321427 and 321432

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 321427 and 321432 the smallest integer that is 103316923464 that is divisible by both numbers.

Least Common Multiple (LCM) of 321427 and 321432 is 103316923464.

LCM(321427,321432) = 103316923464

LCM of 321427 and 321432

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

LCM of:
and

Least Common Multiple of 321427 and 321432

LCM of 321427 and 321432 is 103316923464

Least common multiple can be found by multiplying the highest exponent prime factors of 321427 and 321432. First we will calculate the prime factors of 321427 and 321432.

Prime Factorization of 321427


321427 321427
1

Prime factors of 321427 are 321427. Prime factorization of 321427 in exponential form is:

321427 = 3214271

Prime Factorization of 321432


2 321432
2 160716
2 80358
3 40179
59 13393
227 227
1

Prime factors of 321432 are 2, 3, 59,227. Prime factorization of 321432 in exponential form is:

321432 = 23×31×591×2271

Now multiplying the highest exponent prime factors to calculate the LCM of 321427 and 321432.

LCM(321427,321432) = 23×31×591×2271×3214271
LCM(321427,321432) = 103316923464

Factors of 321427

List of positive integer factors of 321427 that divides 321427 without a remainder.

1, 321427

Factors of 321432

List of positive integer factors of 321432 that divides 321432 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 59, 118, 177, 227, 236, 354, 454, 472, 681, 708, 908, 1362, 1416, 1816, 2724, 5448, 13393, 26786, 40179, 53572, 80358, 107144, 160716, 321432

Least Common Multiple of 321427 and 321432 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 321427 and 321432, than apply into the LCM equation.

GCF(321427,321432) = 1
LCM(321427,321432) = ( 321427 × 321432) / 1
LCM(321427,321432) = 103316923464 / 1
LCM(321427,321432) = 103316923464

Properties of LCM 321427 and 321432

(i) The LCM of 321432 and 321427 is associative

LCM of 321427 and 321432 = LCM of 321432 and 321427

Related Least Common Multiples of 321427

Related Least Common Multiples of 321432

Frequently Asked Questions on LCM of 321427 and 321432

1. What is the LCM of 321427 and 321432?

Answer: LCM of 321427 and 321432 is 103316923464.

2. What are the Factors of 321427?

Answer: Factors of 321427 are 1, 321427. There are 2 integers that are factors of 321427. The greatest factor of 321427 is 321427.

3. What are the Factors of 321432?

Answer: Factors of 321432 are 1, 2, 3, 4, 6, 8, 12, 24, 59, 118, 177, 227, 236, 354, 454, 472, 681, 708, 908, 1362, 1416, 1816, 2724, 5448, 13393, 26786, 40179, 53572, 80358, 107144, 160716, 321432. There are 32 integers that are factors of 321432. The greatest factor of 321432 is 321432.

4. How to Find the LCM of 321427 and 321432?

Answer:

Least Common Multiple of 321427 and 321432 = 103316923464

Step 1: Find the prime factorization of 321427

321427 = 321427

Step 2: Find the prime factorization of 321432

321432 = 2 x 2 x 2 x 3 x 59 x 227

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

LCM = 103316923464 = 2 x 2 x 2 x 3 x 59 x 227 x 321427

Step 4: Therefore, the least common multiple of 321427 and 321432 is 103316923464.