Least Common Multiple of 39231 and 39232

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 39231 and 39232 the smallest integer that is 1539110592 that is divisible by both numbers.

Least Common Multiple (LCM) of 39231 and 39232 is 1539110592.

LCM(39231,39232) = 1539110592

LCM of 39231 and 39232

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

LCM of:
and

Least Common Multiple of 39231 and 39232

LCM of 39231 and 39232 is 1539110592

Least common multiple can be found by multiplying the highest exponent prime factors of 39231 and 39232. First we will calculate the prime factors of 39231 and 39232.

Prime Factorization of 39231


3 39231
3 13077
3 4359
1453 1453
1

Prime factors of 39231 are 3,1453. Prime factorization of 39231 in exponential form is:

39231 = 33×14531

Prime Factorization of 39232


2 39232
2 19616
2 9808
2 4904
2 2452
2 1226
613 613
1

Prime factors of 39232 are 2,613. Prime factorization of 39232 in exponential form is:

39232 = 26×6131

Now multiplying the highest exponent prime factors to calculate the LCM of 39231 and 39232.

LCM(39231,39232) = 26×33×6131×14531
LCM(39231,39232) = 1539110592

Factors of 39231

List of positive integer factors of 39231 that divides 39231 without a remainder.

1, 3, 9, 27, 1453, 4359, 13077, 39231

Factors of 39232

List of positive integer factors of 39232 that divides 39232 without a remainder.

1, 2, 4, 8, 16, 32, 64, 613, 1226, 2452, 4904, 9808, 19616, 39232

Least Common Multiple of 39231 and 39232 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39231 and 39232, than apply into the LCM equation.

GCF(39231,39232) = 1
LCM(39231,39232) = ( 39231 × 39232) / 1
LCM(39231,39232) = 1539110592 / 1
LCM(39231,39232) = 1539110592

Properties of LCM 39231 and 39232

(i) The LCM of 39232 and 39231 is associative

LCM of 39231 and 39232 = LCM of 39232 and 39231

Related Least Common Multiples of 39231

Related Least Common Multiples of 39232

Frequently Asked Questions on LCM of 39231 and 39232

1. What is the LCM of 39231 and 39232?

Answer: LCM of 39231 and 39232 is 1539110592.

2. What are the Factors of 39231?

Answer: Factors of 39231 are 1, 3, 9, 27, 1453, 4359, 13077, 39231. There are 8 integers that are factors of 39231. The greatest factor of 39231 is 39231.

3. What are the Factors of 39232?

Answer: Factors of 39232 are 1, 2, 4, 8, 16, 32, 64, 613, 1226, 2452, 4904, 9808, 19616, 39232. There are 14 integers that are factors of 39232. The greatest factor of 39232 is 39232.

4. How to Find the LCM of 39231 and 39232?

Answer:

Least Common Multiple of 39231 and 39232 = 1539110592

Step 1: Find the prime factorization of 39231

39231 = 3 x 3 x 3 x 1453

Step 2: Find the prime factorization of 39232

39232 = 2 x 2 x 2 x 2 x 2 x 2 x 613

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

LCM = 1539110592 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 613 x 1453

Step 4: Therefore, the least common multiple of 39231 and 39232 is 1539110592.