Least Common Multiple of 39233 and 39240

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 39233 and 39240 the smallest integer that is 1539502920 that is divisible by both numbers.

Least Common Multiple (LCM) of 39233 and 39240 is 1539502920.

LCM(39233,39240) = 1539502920

LCM of 39233 and 39240

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

LCM of:
and

Least Common Multiple of 39233 and 39240

LCM of 39233 and 39240 is 1539502920

Least common multiple can be found by multiplying the highest exponent prime factors of 39233 and 39240. First we will calculate the prime factors of 39233 and 39240.

Prime Factorization of 39233


39233 39233
1

Prime factors of 39233 are 39233. Prime factorization of 39233 in exponential form is:

39233 = 392331

Prime Factorization of 39240


2 39240
2 19620
2 9810
3 4905
3 1635
5 545
109 109
1

Prime factors of 39240 are 2, 3, 5,109. Prime factorization of 39240 in exponential form is:

39240 = 23×32×51×1091

Now multiplying the highest exponent prime factors to calculate the LCM of 39233 and 39240.

LCM(39233,39240) = 23×32×51×1091×392331
LCM(39233,39240) = 1539502920

Factors of 39233

List of positive integer factors of 39233 that divides 39233 without a remainder.

1, 39233

Factors of 39240

List of positive integer factors of 39240 that divides 39240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 109, 120, 180, 218, 327, 360, 436, 545, 654, 872, 981, 1090, 1308, 1635, 1962, 2180, 2616, 3270, 3924, 4360, 4905, 6540, 7848, 9810, 13080, 19620, 39240

Least Common Multiple of 39233 and 39240 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39233 and 39240, than apply into the LCM equation.

GCF(39233,39240) = 1
LCM(39233,39240) = ( 39233 × 39240) / 1
LCM(39233,39240) = 1539502920 / 1
LCM(39233,39240) = 1539502920

Properties of LCM 39233 and 39240

(i) The LCM of 39240 and 39233 is associative

LCM of 39233 and 39240 = LCM of 39240 and 39233

Related Least Common Multiples of 39233

Related Least Common Multiples of 39240

Frequently Asked Questions on LCM of 39233 and 39240

1. What is the LCM of 39233 and 39240?

Answer: LCM of 39233 and 39240 is 1539502920.

2. What are the Factors of 39233?

Answer: Factors of 39233 are 1, 39233. There are 2 integers that are factors of 39233. The greatest factor of 39233 is 39233.

3. What are the Factors of 39240?

Answer: Factors of 39240 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 109, 120, 180, 218, 327, 360, 436, 545, 654, 872, 981, 1090, 1308, 1635, 1962, 2180, 2616, 3270, 3924, 4360, 4905, 6540, 7848, 9810, 13080, 19620, 39240. There are 48 integers that are factors of 39240. The greatest factor of 39240 is 39240.

4. How to Find the LCM of 39233 and 39240?

Answer:

Least Common Multiple of 39233 and 39240 = 1539502920

Step 1: Find the prime factorization of 39233

39233 = 39233

Step 2: Find the prime factorization of 39240

39240 = 2 x 2 x 2 x 3 x 3 x 5 x 109

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

LCM = 1539502920 = 2 x 2 x 2 x 3 x 3 x 5 x 109 x 39233

Step 4: Therefore, the least common multiple of 39233 and 39240 is 1539502920.