Least Common Multiple of 56797 and 56802

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

• Least Common Multiple of 56797 and 56802 by Prime method
• Least Common Multiple of 56797 and 56802 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 56797 and 56802. First we will calculate the prime factors of 56797 and 56802.

Prime Factorization of 56797

Prime factors of 56797 are 13, 17,257. Prime factorization of 56797 in exponential form is:

56797 = 13¹×17¹×257¹

Prime Factorization of 56802

Prime factors of 56802 are 2, 3,9467. Prime factorization of 56802 in exponential form is:

56802 = 2¹×3¹×9467¹

Now multiplying the highest exponent prime factors to calculate the LCM of 56797 and 56802.

LCM(56797,56802) = 2¹×3¹×13¹×17¹×257¹×9467¹
LCM(56797,56802) = 3226183194

Factors of 56797

List of positive integer factors of 56797 that divides 56797 without a remainder.

1, 13, 17, 221, 257, 3341, 4369, 56797

Factors of 56802

List of positive integer factors of 56802 that divides 56802 without a remainder.

1, 2, 3, 6, 9467, 18934, 28401, 56802

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56797 and 56802, than apply into the LCM equation.

GCF(56797,56802) = 1
LCM(56797,56802) = ( 56797 × 56802) / 1
LCM(56797,56802) = 3226183194 / 1
LCM(56797,56802) = 3226183194

(i) The LCM of 56802 and 56797 is associative

LCM of 56797 and 56802 = LCM of 56802 and 56797

1. What is the LCM of 56797 and 56802?

Answer: LCM of 56797 and 56802 is 3226183194.

2. What are the Factors of 56797?

Answer: Factors of 56797 are 1, 13, 17, 221, 257, 3341, 4369, 56797. There are 8 integers that are factors of 56797. The greatest factor of 56797 is 56797.

3. What are the Factors of 56802?

Answer: Factors of 56802 are 1, 2, 3, 6, 9467, 18934, 28401, 56802. There are 8 integers that are factors of 56802. The greatest factor of 56802 is 56802.

4. How to Find the LCM of 56797 and 56802?

Answer:

Least Common Multiple of 56797 and 56802 = 3226183194

Step 1: Find the prime factorization of 56797

56797 = 13 x 17 x 257

Step 2: Find the prime factorization of 56802

56802 = 2 x 3 x 9467

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

LCM = 3226183194 = 2 x 3 x 13 x 17 x 257 x 9467

Step 4: Therefore, the least common multiple of 56797 and 56802 is 3226183194.