Least Common Multiple of 65016 and 65022

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 65016 and 65022 the smallest integer that is 704578392 that is divisible by both numbers.

Least Common Multiple (LCM) of 65016 and 65022 is 704578392.

LCM(65016,65022) = 704578392

LCM of 65016 and 65022

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

LCM of:
and

Least Common Multiple of 65016 and 65022

LCM of 65016 and 65022 is 704578392

Least common multiple can be found by multiplying the highest exponent prime factors of 65016 and 65022. First we will calculate the prime factors of 65016 and 65022.

Prime Factorization of 65016


2 65016
2 32508
2 16254
3 8127
3 2709
3 903
7 301
43 43
1

Prime factors of 65016 are 2, 3, 7,43. Prime factorization of 65016 in exponential form is:

65016 = 23×33×71×431

Prime Factorization of 65022


2 65022
3 32511
10837 10837
1

Prime factors of 65022 are 2, 3,10837. Prime factorization of 65022 in exponential form is:

65022 = 21×31×108371

Now multiplying the highest exponent prime factors to calculate the LCM of 65016 and 65022.

LCM(65016,65022) = 23×33×71×431×108371
LCM(65016,65022) = 704578392

Factors of 65016

List of positive integer factors of 65016 that divides 65016 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 27, 28, 36, 42, 43, 54, 56, 63, 72, 84, 86, 108, 126, 129, 168, 172, 189, 216, 252, 258, 301, 344, 378, 387, 504, 516, 602, 756, 774, 903, 1032, 1161, 1204, 1512, 1548, 1806, 2322, 2408, 2709, 3096, 3612, 4644, 5418, 7224, 8127, 9288, 10836, 16254, 21672, 32508, 65016

Factors of 65022

List of positive integer factors of 65022 that divides 65022 without a remainder.

1, 2, 3, 6, 10837, 21674, 32511, 65022

Least Common Multiple of 65016 and 65022 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65016 and 65022, than apply into the LCM equation.

GCF(65016,65022) = 6
LCM(65016,65022) = ( 65016 × 65022) / 6
LCM(65016,65022) = 4227470352 / 6
LCM(65016,65022) = 704578392

Properties of LCM 65016 and 65022

(i) The LCM of 65022 and 65016 is associative

LCM of 65016 and 65022 = LCM of 65022 and 65016

Related Least Common Multiples of 65016

Related Least Common Multiples of 65022

Frequently Asked Questions on LCM of 65016 and 65022

1. What is the LCM of 65016 and 65022?

Answer: LCM of 65016 and 65022 is 704578392.

2. What are the Factors of 65016?

Answer: Factors of 65016 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 27, 28, 36, 42, 43, 54, 56, 63, 72, 84, 86, 108, 126, 129, 168, 172, 189, 216, 252, 258, 301, 344, 378, 387, 504, 516, 602, 756, 774, 903, 1032, 1161, 1204, 1512, 1548, 1806, 2322, 2408, 2709, 3096, 3612, 4644, 5418, 7224, 8127, 9288, 10836, 16254, 21672, 32508, 65016. There are 64 integers that are factors of 65016. The greatest factor of 65016 is 65016.

3. What are the Factors of 65022?

Answer: Factors of 65022 are 1, 2, 3, 6, 10837, 21674, 32511, 65022. There are 8 integers that are factors of 65022. The greatest factor of 65022 is 65022.

4. How to Find the LCM of 65016 and 65022?

Answer:

Least Common Multiple of 65016 and 65022 = 704578392

Step 1: Find the prime factorization of 65016

65016 = 2 x 2 x 2 x 3 x 3 x 3 x 7 x 43

Step 2: Find the prime factorization of 65022

65022 = 2 x 3 x 10837

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

LCM = 704578392 = 2 x 2 x 2 x 3 x 3 x 3 x 7 x 43 x 10837

Step 4: Therefore, the least common multiple of 65016 and 65022 is 704578392.