Least Common Multiple of 68790 and 68798

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

• Least Common Multiple of 68790 and 68798 by Prime method
• Least Common Multiple of 68790 and 68798 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 68790 and 68798. First we will calculate the prime factors of 68790 and 68798.

Prime Factorization of 68790

Prime factors of 68790 are 2, 3, 5,2293. Prime factorization of 68790 in exponential form is:

68790 = 2¹×3¹×5¹×2293¹

Prime Factorization of 68798

Prime factors of 68798 are 2, 41,839. Prime factorization of 68798 in exponential form is:

68798 = 2¹×41¹×839¹

Now multiplying the highest exponent prime factors to calculate the LCM of 68790 and 68798.

LCM(68790,68798) = 2¹×3¹×5¹×41¹×839¹×2293¹
LCM(68790,68798) = 2366307210

Factors of 68790

List of positive integer factors of 68790 that divides 68790 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2293, 4586, 6879, 11465, 13758, 22930, 34395, 68790

Factors of 68798

List of positive integer factors of 68798 that divides 68798 without a remainder.

1, 2, 41, 82, 839, 1678, 34399, 68798

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68790 and 68798, than apply into the LCM equation.

GCF(68790,68798) = 2
LCM(68790,68798) = ( 68790 × 68798) / 2
LCM(68790,68798) = 4732614420 / 2
LCM(68790,68798) = 2366307210

(i) The LCM of 68798 and 68790 is associative

LCM of 68790 and 68798 = LCM of 68798 and 68790

1. What is the LCM of 68790 and 68798?

Answer: LCM of 68790 and 68798 is 2366307210.

2. What are the Factors of 68790?

Answer: Factors of 68790 are 1, 2, 3, 5, 6, 10, 15, 30, 2293, 4586, 6879, 11465, 13758, 22930, 34395, 68790. There are 16 integers that are factors of 68790. The greatest factor of 68790 is 68790.

3. What are the Factors of 68798?

Answer: Factors of 68798 are 1, 2, 41, 82, 839, 1678, 34399, 68798. There are 8 integers that are factors of 68798. The greatest factor of 68798 is 68798.

4. How to Find the LCM of 68790 and 68798?

Answer:

Least Common Multiple of 68790 and 68798 = 2366307210

Step 1: Find the prime factorization of 68790

68790 = 2 x 3 x 5 x 2293

Step 2: Find the prime factorization of 68798

68798 = 2 x 41 x 839

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

LCM = 2366307210 = 2 x 3 x 5 x 41 x 839 x 2293

Step 4: Therefore, the least common multiple of 68790 and 68798 is 2366307210.