Least Common Multiple of 10218 and 10222

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10218 and 10222 the smallest integer that is 52224198 that is divisible by both numbers.

Least Common Multiple (LCM) of 10218 and 10222 is 52224198.

LCM(10218,10222) = 52224198

LCM of 10218 and 10222

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

LCM of:
and

Least Common Multiple of 10218 and 10222

LCM of 10218 and 10222 is 52224198

Least common multiple can be found by multiplying the highest exponent prime factors of 10218 and 10222. First we will calculate the prime factors of 10218 and 10222.

Prime Factorization of 10218


2 10218
3 5109
13 1703
131 131
1

Prime factors of 10218 are 2, 3, 13,131. Prime factorization of 10218 in exponential form is:

10218 = 21×31×131×1311

Prime Factorization of 10222


2 10222
19 5111
269 269
1

Prime factors of 10222 are 2, 19,269. Prime factorization of 10222 in exponential form is:

10222 = 21×191×2691

Now multiplying the highest exponent prime factors to calculate the LCM of 10218 and 10222.

LCM(10218,10222) = 21×31×131×191×1311×2691
LCM(10218,10222) = 52224198

Factors of 10218

List of positive integer factors of 10218 that divides 10218 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 131, 262, 393, 786, 1703, 3406, 5109, 10218

Factors of 10222

List of positive integer factors of 10222 that divides 10222 without a remainder.

1, 2, 19, 38, 269, 538, 5111, 10222

Least Common Multiple of 10218 and 10222 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10218 and 10222, than apply into the LCM equation.

GCF(10218,10222) = 2
LCM(10218,10222) = ( 10218 × 10222) / 2
LCM(10218,10222) = 104448396 / 2
LCM(10218,10222) = 52224198

Properties of LCM 10218 and 10222

(i) The LCM of 10222 and 10218 is associative

LCM of 10218 and 10222 = LCM of 10222 and 10218

Related Least Common Multiples of 10218

Related Least Common Multiples of 10222

Frequently Asked Questions on LCM of 10218 and 10222

1. What is the LCM of 10218 and 10222?

Answer: LCM of 10218 and 10222 is 52224198.

2. What are the Factors of 10218?

Answer: Factors of 10218 are 1, 2, 3, 6, 13, 26, 39, 78, 131, 262, 393, 786, 1703, 3406, 5109, 10218. There are 16 integers that are factors of 10218. The greatest factor of 10218 is 10218.

3. What are the Factors of 10222?

Answer: Factors of 10222 are 1, 2, 19, 38, 269, 538, 5111, 10222. There are 8 integers that are factors of 10222. The greatest factor of 10222 is 10222.

4. How to Find the LCM of 10218 and 10222?

Answer:

Least Common Multiple of 10218 and 10222 = 52224198

Step 1: Find the prime factorization of 10218

10218 = 2 x 3 x 13 x 131

Step 2: Find the prime factorization of 10222

10222 = 2 x 19 x 269

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

LCM = 52224198 = 2 x 3 x 13 x 19 x 131 x 269

Step 4: Therefore, the least common multiple of 10218 and 10222 is 52224198.