Least Common Multiple of 221842 and 221848

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 221842 and 221848 the smallest integer that is 24607602008 that is divisible by both numbers.

Least Common Multiple (LCM) of 221842 and 221848 is 24607602008.

LCM(221842,221848) = 24607602008

LCM of 221842 and 221848

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

LCM of:
and

Least Common Multiple of 221842 and 221848

LCM of 221842 and 221848 is 24607602008

Least common multiple can be found by multiplying the highest exponent prime factors of 221842 and 221848. First we will calculate the prime factors of 221842 and 221848.

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

Prime Factorization of 221848


2 221848
2 110924
2 55462
11 27731
2521 2521
1

Prime factors of 221848 are 2, 11,2521. Prime factorization of 221848 in exponential form is:

221848 = 23×111×25211

Now multiplying the highest exponent prime factors to calculate the LCM of 221842 and 221848.

LCM(221842,221848) = 23×111×25211×1109211
LCM(221842,221848) = 24607602008

Factors of 221842

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

1, 2, 110921, 221842

Factors of 221848

List of positive integer factors of 221848 that divides 221848 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 2521, 5042, 10084, 20168, 27731, 55462, 110924, 221848

Least Common Multiple of 221842 and 221848 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 221842 and 221848, than apply into the LCM equation.

GCF(221842,221848) = 2
LCM(221842,221848) = ( 221842 × 221848) / 2
LCM(221842,221848) = 49215204016 / 2
LCM(221842,221848) = 24607602008

Properties of LCM 221842 and 221848

(i) The LCM of 221848 and 221842 is associative

LCM of 221842 and 221848 = LCM of 221848 and 221842

Related Least Common Multiples of 221842

Related Least Common Multiples of 221848

Frequently Asked Questions on LCM of 221842 and 221848

1. What is the LCM of 221842 and 221848?

Answer: LCM of 221842 and 221848 is 24607602008.

2. 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.

3. What are the Factors of 221848?

Answer: Factors of 221848 are 1, 2, 4, 8, 11, 22, 44, 88, 2521, 5042, 10084, 20168, 27731, 55462, 110924, 221848. There are 16 integers that are factors of 221848. The greatest factor of 221848 is 221848.

4. How to Find the LCM of 221842 and 221848?

Answer:

Least Common Multiple of 221842 and 221848 = 24607602008

Step 1: Find the prime factorization of 221842

221842 = 2 x 110921

Step 2: Find the prime factorization of 221848

221848 = 2 x 2 x 2 x 11 x 2521

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

LCM = 24607602008 = 2 x 2 x 2 x 11 x 2521 x 110921

Step 4: Therefore, the least common multiple of 221842 and 221848 is 24607602008.