Least Common Multiple of 211 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 211 and 218 the smallest integer that is 45998 that is divisible by both numbers.

Least Common Multiple (LCM) of 211 and 218 is 45998.

LCM(211,218) = 45998

LCM of 211 and 218

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

LCM of:
and

Least Common Multiple of 211 and 218

LCM of 211 and 218 is 45998

Least common multiple can be found by multiplying the highest exponent prime factors of 211 and 218. First we will calculate the prime factors of 211 and 218.

Prime Factorization of 211


211 211
1

Prime factors of 211 are 211. Prime factorization of 211 in exponential form is:

211 = 2111

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 211 and 218.

LCM(211,218) = 21×1091×2111
LCM(211,218) = 45998

Factors of 211

List of positive integer factors of 211 that divides 211 without a remainder.

1, 211

Factors of 218

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

1, 2, 109, 218

Least Common Multiple of 211 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 211 and 218, than apply into the LCM equation.

GCF(211,218) = 1
LCM(211,218) = ( 211 × 218) / 1
LCM(211,218) = 45998 / 1
LCM(211,218) = 45998

Properties of LCM 211 and 218

(i) The LCM of 218 and 211 is associative

LCM of 211 and 218 = LCM of 218 and 211

Related Least Common Multiples of 211

Related Least Common Multiples of 218

Frequently Asked Questions on LCM of 211 and 218

1. What is the LCM of 211 and 218?

Answer: LCM of 211 and 218 is 45998.

2. What are the Factors of 211?

Answer: Factors of 211 are 1, 211. There are 2 integers that are factors of 211. The greatest factor of 211 is 211.

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 211 and 218?

Answer:

Least Common Multiple of 211 and 218 = 45998

Step 1: Find the prime factorization of 211

211 = 211

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 = 45998 = 2 x 109 x 211

Step 4: Therefore, the least common multiple of 211 and 218 is 45998.