Least Common Multiple of 39240 and 39248

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 39240 and 39248 the smallest integer that is 192511440 that is divisible by both numbers.

Least Common Multiple (LCM) of 39240 and 39248 is 192511440.

LCM(39240,39248) = 192511440

LCM of 39240 and 39248

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

LCM of:
and

Least Common Multiple of 39240 and 39248

LCM of 39240 and 39248 is 192511440

Least common multiple can be found by multiplying the highest exponent prime factors of 39240 and 39248. First we will calculate the prime factors of 39240 and 39248.

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

Prime Factorization of 39248


2 39248
2 19624
2 9812
2 4906
11 2453
223 223
1

Prime factors of 39248 are 2, 11,223. Prime factorization of 39248 in exponential form is:

39248 = 24×111×2231

Now multiplying the highest exponent prime factors to calculate the LCM of 39240 and 39248.

LCM(39240,39248) = 24×32×51×111×1091×2231
LCM(39240,39248) = 192511440

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

Factors of 39248

List of positive integer factors of 39248 that divides 39248 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176, 223, 446, 892, 1784, 2453, 3568, 4906, 9812, 19624, 39248

Least Common Multiple of 39240 and 39248 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39240 and 39248, than apply into the LCM equation.

GCF(39240,39248) = 8
LCM(39240,39248) = ( 39240 × 39248) / 8
LCM(39240,39248) = 1540091520 / 8
LCM(39240,39248) = 192511440

Properties of LCM 39240 and 39248

(i) The LCM of 39248 and 39240 is associative

LCM of 39240 and 39248 = LCM of 39248 and 39240

Related Least Common Multiples of 39240

Related Least Common Multiples of 39248

Frequently Asked Questions on LCM of 39240 and 39248

1. What is the LCM of 39240 and 39248?

Answer: LCM of 39240 and 39248 is 192511440.

2. 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.

3. What are the Factors of 39248?

Answer: Factors of 39248 are 1, 2, 4, 8, 11, 16, 22, 44, 88, 176, 223, 446, 892, 1784, 2453, 3568, 4906, 9812, 19624, 39248. There are 20 integers that are factors of 39248. The greatest factor of 39248 is 39248.

4. How to Find the LCM of 39240 and 39248?

Answer:

Least Common Multiple of 39240 and 39248 = 192511440

Step 1: Find the prime factorization of 39240

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

Step 2: Find the prime factorization of 39248

39248 = 2 x 2 x 2 x 2 x 11 x 223

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

LCM = 192511440 = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 11 x 109 x 223

Step 4: Therefore, the least common multiple of 39240 and 39248 is 192511440.