Least Common Multiple of 213 and 218

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 213 and 218 the smallest integer that is 46434 that is divisible by both numbers.

Least Common Multiple (LCM) of 213 and 218 is 46434.

LCM(213,218) = 46434

LCM of 213 and 218

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

LCM of:
and

Least Common Multiple of 213 and 218

LCM of 213 and 218 is 46434

Least common multiple can be found by multiplying the highest exponent prime factors of 213 and 218. First we will calculate the prime factors of 213 and 218.

Prime Factorization of 213


3 213
71 71
1

Prime factors of 213 are 3,71. Prime factorization of 213 in exponential form is:

213 = 31×711

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

Now multiplying the highest exponent prime factors to calculate the LCM of 213 and 218.

LCM(213,218) = 21×31×711×1091
LCM(213,218) = 46434

Factors of 213

List of positive integer factors of 213 that divides 213 without a remainder.

1, 3, 71, 213

Factors of 218

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

1, 2, 109, 218

Least Common Multiple of 213 and 218 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 213 and 218, than apply into the LCM equation.

GCF(213,218) = 1
LCM(213,218) = ( 213 × 218) / 1
LCM(213,218) = 46434 / 1
LCM(213,218) = 46434

Properties of LCM 213 and 218

(i) The LCM of 218 and 213 is associative

LCM of 213 and 218 = LCM of 218 and 213

Related Least Common Multiples of 213

Related Least Common Multiples of 218

Frequently Asked Questions on LCM of 213 and 218

1. What is the LCM of 213 and 218?

Answer: LCM of 213 and 218 is 46434.

2. What are the Factors of 213?

Answer: Factors of 213 are 1, 3, 71, 213. There are 4 integers that are factors of 213. The greatest factor of 213 is 213.

3. 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.

4. How to Find the LCM of 213 and 218?

Answer:

Least Common Multiple of 213 and 218 = 46434

Step 1: Find the prime factorization of 213

213 = 3 x 71

Step 2: Find the prime factorization of 218

218 = 2 x 109

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

LCM = 46434 = 2 x 3 x 71 x 109

Step 4: Therefore, the least common multiple of 213 and 218 is 46434.