Least Common Multiple of 68792 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 68792 and 68796 the smallest integer that is 1183153608 that is divisible by both numbers.

Least Common Multiple (LCM) of 68792 and 68796 is 1183153608.

LCM(68792,68796) = 1183153608

LCM of 68792 and 68796

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

LCM of:
and

Least Common Multiple of 68792 and 68796

LCM of 68792 and 68796 is 1183153608

Least common multiple can be found by multiplying the highest exponent prime factors of 68792 and 68796. First we will calculate the prime factors of 68792 and 68796.

Prime Factorization of 68792


2 68792
2 34396
2 17198
8599 8599
1

Prime factors of 68792 are 2,8599. Prime factorization of 68792 in exponential form is:

68792 = 23×85991

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 68792 and 68796.

LCM(68792,68796) = 23×33×72×131×85991
LCM(68792,68796) = 1183153608

Factors of 68792

List of positive integer factors of 68792 that divides 68792 without a remainder.

1, 2, 4, 8, 8599, 17198, 34396, 68792

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 68792 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 68792 and 68796, than apply into the LCM equation.

GCF(68792,68796) = 4
LCM(68792,68796) = ( 68792 × 68796) / 4
LCM(68792,68796) = 4732614432 / 4
LCM(68792,68796) = 1183153608

Properties of LCM 68792 and 68796

(i) The LCM of 68796 and 68792 is associative

LCM of 68792 and 68796 = LCM of 68796 and 68792

Related Least Common Multiples of 68792

Related Least Common Multiples of 68796

Frequently Asked Questions on LCM of 68792 and 68796

1. What is the LCM of 68792 and 68796?

Answer: LCM of 68792 and 68796 is 1183153608.

2. What are the Factors of 68792?

Answer: Factors of 68792 are 1, 2, 4, 8, 8599, 17198, 34396, 68792. There are 8 integers that are factors of 68792. The greatest factor of 68792 is 68792.

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 68792 and 68796?

Answer:

Least Common Multiple of 68792 and 68796 = 1183153608

Step 1: Find the prime factorization of 68792

68792 = 2 x 2 x 2 x 8599

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 = 1183153608 = 2 x 2 x 2 x 3 x 3 x 3 x 7 x 7 x 13 x 8599

Step 4: Therefore, the least common multiple of 68792 and 68796 is 1183153608.