Least Common Multiple of 221835 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 221835 and 221841 the smallest integer that is 16404032745 that is divisible by both numbers.

Least Common Multiple (LCM) of 221835 and 221841 is 16404032745.

LCM(221835,221841) = 16404032745

LCM of 221835 and 221841

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

LCM of:
and

Least Common Multiple of 221835 and 221841

LCM of 221835 and 221841 is 16404032745

Least common multiple can be found by multiplying the highest exponent prime factors of 221835 and 221841. First we will calculate the prime factors of 221835 and 221841.

Prime Factorization of 221835


3 221835
5 73945
23 14789
643 643
1

Prime factors of 221835 are 3, 5, 23,643. Prime factorization of 221835 in exponential form is:

221835 = 31×51×231×6431

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 221835 and 221841.

LCM(221835,221841) = 32×51×231×1572×6431
LCM(221835,221841) = 16404032745

Factors of 221835

List of positive integer factors of 221835 that divides 221835 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345, 643, 1929, 3215, 9645, 14789, 44367, 73945, 221835

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 221835 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 221835 and 221841, than apply into the LCM equation.

GCF(221835,221841) = 3
LCM(221835,221841) = ( 221835 × 221841) / 3
LCM(221835,221841) = 49212098235 / 3
LCM(221835,221841) = 16404032745

Properties of LCM 221835 and 221841

(i) The LCM of 221841 and 221835 is associative

LCM of 221835 and 221841 = LCM of 221841 and 221835

Related Least Common Multiples of 221835

Related Least Common Multiples of 221841

Frequently Asked Questions on LCM of 221835 and 221841

1. What is the LCM of 221835 and 221841?

Answer: LCM of 221835 and 221841 is 16404032745.

2. What are the Factors of 221835?

Answer: Factors of 221835 are 1, 3, 5, 15, 23, 69, 115, 345, 643, 1929, 3215, 9645, 14789, 44367, 73945, 221835. There are 16 integers that are factors of 221835. The greatest factor of 221835 is 221835.

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 221835 and 221841?

Answer:

Least Common Multiple of 221835 and 221841 = 16404032745

Step 1: Find the prime factorization of 221835

221835 = 3 x 5 x 23 x 643

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 = 16404032745 = 3 x 3 x 5 x 23 x 157 x 157 x 643

Step 4: Therefore, the least common multiple of 221835 and 221841 is 16404032745.