Least Common Multiple of 221834 and 221842

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 221834 and 221842 the smallest integer that is 24606049114 that is divisible by both numbers.

Least Common Multiple (LCM) of 221834 and 221842 is 24606049114.

LCM(221834,221842) = 24606049114

LCM of 221834 and 221842

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

LCM of:
and

Least Common Multiple of 221834 and 221842

LCM of 221834 and 221842 is 24606049114

Least common multiple can be found by multiplying the highest exponent prime factors of 221834 and 221842. First we will calculate the prime factors of 221834 and 221842.

Prime Factorization of 221834


2 221834
110917 110917
1

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

221834 = 21×1109171

Prime Factorization of 221842


2 221842
110921 110921
1

Prime factors of 221842 are 2,110921. Prime factorization of 221842 in exponential form is:

221842 = 21×1109211

Now multiplying the highest exponent prime factors to calculate the LCM of 221834 and 221842.

LCM(221834,221842) = 21×1109171×1109211
LCM(221834,221842) = 24606049114

Factors of 221834

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

1, 2, 110917, 221834

Factors of 221842

List of positive integer factors of 221842 that divides 221842 without a remainder.

1, 2, 110921, 221842

Least Common Multiple of 221834 and 221842 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 221834 and 221842, than apply into the LCM equation.

GCF(221834,221842) = 2
LCM(221834,221842) = ( 221834 × 221842) / 2
LCM(221834,221842) = 49212098228 / 2
LCM(221834,221842) = 24606049114

Properties of LCM 221834 and 221842

(i) The LCM of 221842 and 221834 is associative

LCM of 221834 and 221842 = LCM of 221842 and 221834

Related Least Common Multiples of 221834

Related Least Common Multiples of 221842

Frequently Asked Questions on LCM of 221834 and 221842

1. What is the LCM of 221834 and 221842?

Answer: LCM of 221834 and 221842 is 24606049114.

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 221842?

Answer: Factors of 221842 are 1, 2, 110921, 221842. There are 4 integers that are factors of 221842. The greatest factor of 221842 is 221842.

4. How to Find the LCM of 221834 and 221842?

Answer:

Least Common Multiple of 221834 and 221842 = 24606049114

Step 1: Find the prime factorization of 221834

221834 = 2 x 110917

Step 2: Find the prime factorization of 221842

221842 = 2 x 110921

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

LCM = 24606049114 = 2 x 110917 x 110921

Step 4: Therefore, the least common multiple of 221834 and 221842 is 24606049114.