Least Common Multiple of 221834 and 221837

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

• Least Common Multiple of 221834 and 221837 by Prime method
• Least Common Multiple of 221834 and 221837 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 221834 and 221837. First we will calculate the prime factors of 221834 and 221837.

Prime Factorization of 221834

Prime factors of 221834 are 2,110917. Prime factorization of 221834 in exponential form is:

221834 = 2¹×110917¹

Prime Factorization of 221837

Prime factors of 221837 are 7, 11, 43,67. Prime factorization of 221837 in exponential form is:

221837 = 7¹×11¹×43¹×67¹

Now multiplying the highest exponent prime factors to calculate the LCM of 221834 and 221837.

LCM(221834,221837) = 2¹×7¹×11¹×43¹×67¹×110917¹
LCM(221834,221837) = 49210989058

Factors of 221834

List of positive integer factors of 221834 that divides 221834 without a remainder.

1, 2, 110917, 221834

Factors of 221837

List of positive integer factors of 221837 that divides 221837 without a remainder.

1, 7, 11, 43, 67, 77, 301, 469, 473, 737, 2881, 3311, 5159, 20167, 31691, 221837

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 221834 and 221837, than apply into the LCM equation.

GCF(221834,221837) = 1
LCM(221834,221837) = ( 221834 × 221837) / 1
LCM(221834,221837) = 49210989058 / 1
LCM(221834,221837) = 49210989058

(i) The LCM of 221837 and 221834 is associative

LCM of 221834 and 221837 = LCM of 221837 and 221834

1. What is the LCM of 221834 and 221837?

Answer: LCM of 221834 and 221837 is 49210989058.

2. What are the Factors of 221834?

Answer: Factors of 221834 are 1, 2, 110917, 221834. There are 4 integers that are factors of 221834. The greatest factor of 221834 is 221834.

3. What are the Factors of 221837?

Answer: Factors of 221837 are 1, 7, 11, 43, 67, 77, 301, 469, 473, 737, 2881, 3311, 5159, 20167, 31691, 221837. There are 16 integers that are factors of 221837. The greatest factor of 221837 is 221837.

4. How to Find the LCM of 221834 and 221837?

Answer:

Least Common Multiple of 221834 and 221837 = 49210989058

Step 1: Find the prime factorization of 221834

221834 = 2 x 110917

Step 2: Find the prime factorization of 221837

221837 = 7 x 11 x 43 x 67

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

LCM = 49210989058 = 2 x 7 x 11 x 43 x 67 x 110917

Step 4: Therefore, the least common multiple of 221834 and 221837 is 49210989058.