Least Common Multiple of 221837 and 221841

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 221837 and 221841 the smallest integer that is 49212541917 that is divisible by both numbers.

Least Common Multiple (LCM) of 221837 and 221841 is 49212541917.

LCM(221837,221841) = 49212541917

LCM of 221837 and 221841

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

LCM of:
and

Least Common Multiple of 221837 and 221841

LCM of 221837 and 221841 is 49212541917

Least common multiple can be found by multiplying the highest exponent prime factors of 221837 and 221841. First we will calculate the prime factors of 221837 and 221841.

Prime Factorization of 221837


7 221837
11 31691
43 2881
67 67
1

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

221837 = 71×111×431×671

Prime Factorization of 221841


3 221841
3 73947
157 24649
157 157
1

Prime factors of 221841 are 3,157. Prime factorization of 221841 in exponential form is:

221841 = 32×1572

Now multiplying the highest exponent prime factors to calculate the LCM of 221837 and 221841.

LCM(221837,221841) = 32×71×111×431×671×1572
LCM(221837,221841) = 49212541917

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

Factors of 221841

List of positive integer factors of 221841 that divides 221841 without a remainder.

1, 3, 9, 157, 471, 1413, 24649, 73947, 221841

Least Common Multiple of 221837 and 221841 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 221837 and 221841, than apply into the LCM equation.

GCF(221837,221841) = 1
LCM(221837,221841) = ( 221837 × 221841) / 1
LCM(221837,221841) = 49212541917 / 1
LCM(221837,221841) = 49212541917

Properties of LCM 221837 and 221841

(i) The LCM of 221841 and 221837 is associative

LCM of 221837 and 221841 = LCM of 221841 and 221837

Related Least Common Multiples of 221837

Related Least Common Multiples of 221841

Frequently Asked Questions on LCM of 221837 and 221841

1. What is the LCM of 221837 and 221841?

Answer: LCM of 221837 and 221841 is 49212541917.

2. 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.

3. What are the Factors of 221841?

Answer: Factors of 221841 are 1, 3, 9, 157, 471, 1413, 24649, 73947, 221841. There are 9 integers that are factors of 221841. The greatest factor of 221841 is 221841.

4. How to Find the LCM of 221837 and 221841?

Answer:

Least Common Multiple of 221837 and 221841 = 49212541917

Step 1: Find the prime factorization of 221837

221837 = 7 x 11 x 43 x 67

Step 2: Find the prime factorization of 221841

221841 = 3 x 3 x 157 x 157

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

LCM = 49212541917 = 3 x 3 x 7 x 11 x 43 x 67 x 157 x 157

Step 4: Therefore, the least common multiple of 221837 and 221841 is 49212541917.