Least Common Multiple of 10218 and 10223

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

• Least Common Multiple of 10218 and 10223 by Prime method
• Least Common Multiple of 10218 and 10223 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 10218 and 10223. First we will calculate the prime factors of 10218 and 10223.

Prime Factorization of 10218

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 10223

Prime factors of 10223 are 10223. Prime factorization of 10223 in exponential form is:

10223 = 10223¹

Now multiplying the highest exponent prime factors to calculate the LCM of 10218 and 10223.

LCM(10218,10223) = 2¹×3¹×13¹×131¹×10223¹
LCM(10218,10223) = 104458614

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 10223

List of positive integer factors of 10223 that divides 10223 without a remainder.

1, 10223

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10218 and 10223, than apply into the LCM equation.

GCF(10218,10223) = 1
LCM(10218,10223) = ( 10218 × 10223) / 1
LCM(10218,10223) = 104458614 / 1
LCM(10218,10223) = 104458614

(i) The LCM of 10223 and 10218 is associative

LCM of 10218 and 10223 = LCM of 10223 and 10218

1. What is the LCM of 10218 and 10223?

Answer: LCM of 10218 and 10223 is 104458614.

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 10223?

Answer: Factors of 10223 are 1, 10223. There are 2 integers that are factors of 10223. The greatest factor of 10223 is 10223.

4. How to Find the LCM of 10218 and 10223?

Answer:

Least Common Multiple of 10218 and 10223 = 104458614

Step 1: Find the prime factorization of 10218

10218 = 2 x 3 x 13 x 131

Step 2: Find the prime factorization of 10223

10223 = 10223

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

LCM = 104458614 = 2 x 3 x 13 x 131 x 10223

Step 4: Therefore, the least common multiple of 10218 and 10223 is 104458614.