Least Common Multiple of 218 and 223

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 218 and 223 the smallest integer that is 48614 that is divisible by both numbers.

Least Common Multiple (LCM) of 218 and 223 is 48614.

LCM(218,223) = 48614

LCM of 218 and 223

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

LCM of:
and

Least Common Multiple of 218 and 223

LCM of 218 and 223 is 48614

Least common multiple can be found by multiplying the highest exponent prime factors of 218 and 223. First we will calculate the prime factors of 218 and 223.

Prime Factorization of 218


2 218
109 109
1

Prime factors of 218 are 2,109. Prime factorization of 218 in exponential form is:

218 = 21×1091

Prime Factorization of 223


223 223
1

Prime factors of 223 are 223. Prime factorization of 223 in exponential form is:

223 = 2231

Now multiplying the highest exponent prime factors to calculate the LCM of 218 and 223.

LCM(218,223) = 21×1091×2231
LCM(218,223) = 48614

Factors of 218

List of positive integer factors of 218 that divides 218 without a remainder.

1, 2, 109, 218

Factors of 223

List of positive integer factors of 223 that divides 223 without a remainder.

1, 223

Least Common Multiple of 218 and 223 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 218 and 223, than apply into the LCM equation.

GCF(218,223) = 1
LCM(218,223) = ( 218 × 223) / 1
LCM(218,223) = 48614 / 1
LCM(218,223) = 48614

Properties of LCM 218 and 223

(i) The LCM of 223 and 218 is associative

LCM of 218 and 223 = LCM of 223 and 218

Related Least Common Multiples of 218

Related Least Common Multiples of 223

Frequently Asked Questions on LCM of 218 and 223

1. What is the LCM of 218 and 223?

Answer: LCM of 218 and 223 is 48614.

2. What are the Factors of 218?

Answer: Factors of 218 are 1, 2, 109, 218. There are 4 integers that are factors of 218. The greatest factor of 218 is 218.

3. What are the Factors of 223?

Answer: Factors of 223 are 1, 223. There are 2 integers that are factors of 223. The greatest factor of 223 is 223.

4. How to Find the LCM of 218 and 223?

Answer:

Least Common Multiple of 218 and 223 = 48614

Step 1: Find the prime factorization of 218

218 = 2 x 109

Step 2: Find the prime factorization of 223

223 = 223

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

LCM = 48614 = 2 x 109 x 223

Step 4: Therefore, the least common multiple of 218 and 223 is 48614.