Least Common Multiple of 68791 and 68796

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 68791 and 68796 the smallest integer that is 4732545636 that is divisible by both numbers.

Least Common Multiple (LCM) of 68791 and 68796 is 4732545636.

LCM(68791,68796) = 4732545636

LCM of 68791 and 68796

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

LCM of:
and

Least Common Multiple of 68791 and 68796

LCM of 68791 and 68796 is 4732545636

Least common multiple can be found by multiplying the highest exponent prime factors of 68791 and 68796. First we will calculate the prime factors of 68791 and 68796.

Prime Factorization of 68791


68791 68791
1

Prime factors of 68791 are 68791. Prime factorization of 68791 in exponential form is:

68791 = 687911

Prime Factorization of 68796


2 68796
2 34398
3 17199
3 5733
3 1911
7 637
7 91
13 13
1

Prime factors of 68796 are 2, 3, 7,13. Prime factorization of 68796 in exponential form is:

68796 = 22×33×72×131

Now multiplying the highest exponent prime factors to calculate the LCM of 68791 and 68796.

LCM(68791,68796) = 22×33×72×131×687911
LCM(68791,68796) = 4732545636

Factors of 68791

List of positive integer factors of 68791 that divides 68791 without a remainder.

1, 68791

Factors of 68796

List of positive integer factors of 68796 that divides 68796 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 13, 14, 18, 21, 26, 27, 28, 36, 39, 42, 49, 52, 54, 63, 78, 84, 91, 98, 108, 117, 126, 147, 156, 182, 189, 196, 234, 252, 273, 294, 351, 364, 378, 441, 468, 546, 588, 637, 702, 756, 819, 882, 1092, 1274, 1323, 1404, 1638, 1764, 1911, 2457, 2548, 2646, 3276, 3822, 4914, 5292, 5733, 7644, 9828, 11466, 17199, 22932, 34398, 68796

Least Common Multiple of 68791 and 68796 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68791 and 68796, than apply into the LCM equation.

GCF(68791,68796) = 1
LCM(68791,68796) = ( 68791 × 68796) / 1
LCM(68791,68796) = 4732545636 / 1
LCM(68791,68796) = 4732545636

Properties of LCM 68791 and 68796

(i) The LCM of 68796 and 68791 is associative

LCM of 68791 and 68796 = LCM of 68796 and 68791

Related Least Common Multiples of 68791

Related Least Common Multiples of 68796

Frequently Asked Questions on LCM of 68791 and 68796

1. What is the LCM of 68791 and 68796?

Answer: LCM of 68791 and 68796 is 4732545636.

2. What are the Factors of 68791?

Answer: Factors of 68791 are 1, 68791. There are 2 integers that are factors of 68791. The greatest factor of 68791 is 68791.

3. What are the Factors of 68796?

Answer: Factors of 68796 are 1, 2, 3, 4, 6, 7, 9, 12, 13, 14, 18, 21, 26, 27, 28, 36, 39, 42, 49, 52, 54, 63, 78, 84, 91, 98, 108, 117, 126, 147, 156, 182, 189, 196, 234, 252, 273, 294, 351, 364, 378, 441, 468, 546, 588, 637, 702, 756, 819, 882, 1092, 1274, 1323, 1404, 1638, 1764, 1911, 2457, 2548, 2646, 3276, 3822, 4914, 5292, 5733, 7644, 9828, 11466, 17199, 22932, 34398, 68796. There are 72 integers that are factors of 68796. The greatest factor of 68796 is 68796.

4. How to Find the LCM of 68791 and 68796?

Answer:

Least Common Multiple of 68791 and 68796 = 4732545636

Step 1: Find the prime factorization of 68791

68791 = 68791

Step 2: Find the prime factorization of 68796

68796 = 2 x 2 x 3 x 3 x 3 x 7 x 7 x 13

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

LCM = 4732545636 = 2 x 2 x 3 x 3 x 3 x 7 x 7 x 13 x 68791

Step 4: Therefore, the least common multiple of 68791 and 68796 is 4732545636.