Least Common Multiple of 218 and 221

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 221 the smallest integer that is 48178 that is divisible by both numbers.

Least Common Multiple (LCM) of 218 and 221 is 48178.

LCM(218,221) = 48178

LCM of 218 and 221

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

LCM of:
and

Least Common Multiple of 218 and 221

LCM of 218 and 221 is 48178

Least common multiple can be found by multiplying the highest exponent prime factors of 218 and 221. First we will calculate the prime factors of 218 and 221.

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 221


13 221
17 17
1

Prime factors of 221 are 13,17. Prime factorization of 221 in exponential form is:

221 = 131×171

Now multiplying the highest exponent prime factors to calculate the LCM of 218 and 221.

LCM(218,221) = 21×131×171×1091
LCM(218,221) = 48178

Factors of 218

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

1, 2, 109, 218

Factors of 221

List of positive integer factors of 221 that divides 221 without a remainder.

1, 13, 17, 221

Least Common Multiple of 218 and 221 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 221, than apply into the LCM equation.

GCF(218,221) = 1
LCM(218,221) = ( 218 × 221) / 1
LCM(218,221) = 48178 / 1
LCM(218,221) = 48178

Properties of LCM 218 and 221

(i) The LCM of 221 and 218 is associative

LCM of 218 and 221 = LCM of 221 and 218

Related Least Common Multiples of 218

Related Least Common Multiples of 221

Frequently Asked Questions on LCM of 218 and 221

1. What is the LCM of 218 and 221?

Answer: LCM of 218 and 221 is 48178.

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 221?

Answer: Factors of 221 are 1, 13, 17, 221. There are 4 integers that are factors of 221. The greatest factor of 221 is 221.

4. How to Find the LCM of 218 and 221?

Answer:

Least Common Multiple of 218 and 221 = 48178

Step 1: Find the prime factorization of 218

218 = 2 x 109

Step 2: Find the prime factorization of 221

221 = 13 x 17

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

LCM = 48178 = 2 x 13 x 17 x 109

Step 4: Therefore, the least common multiple of 218 and 221 is 48178.