Least Common Multiple of 39026 and 39032

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 39026 and 39032 the smallest integer that is 761631416 that is divisible by both numbers.

Least Common Multiple (LCM) of 39026 and 39032 is 761631416.

LCM(39026,39032) = 761631416

LCM of 39026 and 39032

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

LCM of:
and

Least Common Multiple of 39026 and 39032

LCM of 39026 and 39032 is 761631416

Least common multiple can be found by multiplying the highest exponent prime factors of 39026 and 39032. First we will calculate the prime factors of 39026 and 39032.

Prime Factorization of 39026


2 39026
13 19513
19 1501
79 79
1

Prime factors of 39026 are 2, 13, 19,79. Prime factorization of 39026 in exponential form is:

39026 = 21×131×191×791

Prime Factorization of 39032


2 39032
2 19516
2 9758
7 4879
17 697
41 41
1

Prime factors of 39032 are 2, 7, 17,41. Prime factorization of 39032 in exponential form is:

39032 = 23×71×171×411

Now multiplying the highest exponent prime factors to calculate the LCM of 39026 and 39032.

LCM(39026,39032) = 23×71×131×171×191×411×791
LCM(39026,39032) = 761631416

Factors of 39026

List of positive integer factors of 39026 that divides 39026 without a remainder.

1, 2, 13, 19, 26, 38, 79, 158, 247, 494, 1027, 1501, 2054, 3002, 19513, 39026

Factors of 39032

List of positive integer factors of 39032 that divides 39032 without a remainder.

1, 2, 4, 7, 8, 14, 17, 28, 34, 41, 56, 68, 82, 119, 136, 164, 238, 287, 328, 476, 574, 697, 952, 1148, 1394, 2296, 2788, 4879, 5576, 9758, 19516, 39032

Least Common Multiple of 39026 and 39032 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39026 and 39032, than apply into the LCM equation.

GCF(39026,39032) = 2
LCM(39026,39032) = ( 39026 × 39032) / 2
LCM(39026,39032) = 1523262832 / 2
LCM(39026,39032) = 761631416

Properties of LCM 39026 and 39032

(i) The LCM of 39032 and 39026 is associative

LCM of 39026 and 39032 = LCM of 39032 and 39026

Related Least Common Multiples of 39026

Related Least Common Multiples of 39032

Frequently Asked Questions on LCM of 39026 and 39032

1. What is the LCM of 39026 and 39032?

Answer: LCM of 39026 and 39032 is 761631416.

2. What are the Factors of 39026?

Answer: Factors of 39026 are 1, 2, 13, 19, 26, 38, 79, 158, 247, 494, 1027, 1501, 2054, 3002, 19513, 39026. There are 16 integers that are factors of 39026. The greatest factor of 39026 is 39026.

3. What are the Factors of 39032?

Answer: Factors of 39032 are 1, 2, 4, 7, 8, 14, 17, 28, 34, 41, 56, 68, 82, 119, 136, 164, 238, 287, 328, 476, 574, 697, 952, 1148, 1394, 2296, 2788, 4879, 5576, 9758, 19516, 39032. There are 32 integers that are factors of 39032. The greatest factor of 39032 is 39032.

4. How to Find the LCM of 39026 and 39032?

Answer:

Least Common Multiple of 39026 and 39032 = 761631416

Step 1: Find the prime factorization of 39026

39026 = 2 x 13 x 19 x 79

Step 2: Find the prime factorization of 39032

39032 = 2 x 2 x 2 x 7 x 17 x 41

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

LCM = 761631416 = 2 x 2 x 2 x 7 x 13 x 17 x 19 x 41 x 79

Step 4: Therefore, the least common multiple of 39026 and 39032 is 761631416.