Least Common Multiple of 39020 and 39026

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 39020 and 39026 the smallest integer that is 761397260 that is divisible by both numbers.

Least Common Multiple (LCM) of 39020 and 39026 is 761397260.

LCM(39020,39026) = 761397260

LCM of 39020 and 39026

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

LCM of:
and

Least Common Multiple of 39020 and 39026

LCM of 39020 and 39026 is 761397260

Least common multiple can be found by multiplying the highest exponent prime factors of 39020 and 39026. First we will calculate the prime factors of 39020 and 39026.

Prime Factorization of 39020


2 39020
2 19510
5 9755
1951 1951
1

Prime factors of 39020 are 2, 5,1951. Prime factorization of 39020 in exponential form is:

39020 = 22×51×19511

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

Now multiplying the highest exponent prime factors to calculate the LCM of 39020 and 39026.

LCM(39020,39026) = 22×51×131×191×791×19511
LCM(39020,39026) = 761397260

Factors of 39020

List of positive integer factors of 39020 that divides 39020 without a remainder.

1, 2, 4, 5, 10, 20, 1951, 3902, 7804, 9755, 19510, 39020

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

Least Common Multiple of 39020 and 39026 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39020 and 39026, than apply into the LCM equation.

GCF(39020,39026) = 2
LCM(39020,39026) = ( 39020 × 39026) / 2
LCM(39020,39026) = 1522794520 / 2
LCM(39020,39026) = 761397260

Properties of LCM 39020 and 39026

(i) The LCM of 39026 and 39020 is associative

LCM of 39020 and 39026 = LCM of 39026 and 39020

Related Least Common Multiples of 39020

Related Least Common Multiples of 39026

Frequently Asked Questions on LCM of 39020 and 39026

1. What is the LCM of 39020 and 39026?

Answer: LCM of 39020 and 39026 is 761397260.

2. What are the Factors of 39020?

Answer: Factors of 39020 are 1, 2, 4, 5, 10, 20, 1951, 3902, 7804, 9755, 19510, 39020. There are 12 integers that are factors of 39020. The greatest factor of 39020 is 39020.

3. 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.

4. How to Find the LCM of 39020 and 39026?

Answer:

Least Common Multiple of 39020 and 39026 = 761397260

Step 1: Find the prime factorization of 39020

39020 = 2 x 2 x 5 x 1951

Step 2: Find the prime factorization of 39026

39026 = 2 x 13 x 19 x 79

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

LCM = 761397260 = 2 x 2 x 5 x 13 x 19 x 79 x 1951

Step 4: Therefore, the least common multiple of 39020 and 39026 is 761397260.