Least Common Multiple of 212 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 212 and 218 the smallest integer that is 23108 that is divisible by both numbers.

Least Common Multiple (LCM) of 212 and 218 is 23108.

LCM(212,218) = 23108

LCM of 212 and 218

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

LCM of:
and

Least Common Multiple of 212 and 218

LCM of 212 and 218 is 23108

Least common multiple can be found by multiplying the highest exponent prime factors of 212 and 218. First we will calculate the prime factors of 212 and 218.

Prime Factorization of 212


2 212
2 106
53 53
1

Prime factors of 212 are 2,53. Prime factorization of 212 in exponential form is:

212 = 22×531

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 212 and 218.

LCM(212,218) = 22×531×1091
LCM(212,218) = 23108

Factors of 212

List of positive integer factors of 212 that divides 212 without a remainder.

1, 2, 4, 53, 106, 212

Factors of 218

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

1, 2, 109, 218

Least Common Multiple of 212 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 212 and 218, than apply into the LCM equation.

GCF(212,218) = 2
LCM(212,218) = ( 212 × 218) / 2
LCM(212,218) = 46216 / 2
LCM(212,218) = 23108

Properties of LCM 212 and 218

(i) The LCM of 218 and 212 is associative

LCM of 212 and 218 = LCM of 218 and 212

Related Least Common Multiples of 212

Related Least Common Multiples of 218

Frequently Asked Questions on LCM of 212 and 218

1. What is the LCM of 212 and 218?

Answer: LCM of 212 and 218 is 23108.

2. What are the Factors of 212?

Answer: Factors of 212 are 1, 2, 4, 53, 106, 212. There are 6 integers that are factors of 212. The greatest factor of 212 is 212.

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 212 and 218?

Answer:

Least Common Multiple of 212 and 218 = 23108

Step 1: Find the prime factorization of 212

212 = 2 x 2 x 53

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 = 23108 = 2 x 2 x 53 x 109

Step 4: Therefore, the least common multiple of 212 and 218 is 23108.