Least Common Multiple of 2211 and 2218

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2211 and 2218 the smallest integer that is 4903998 that is divisible by both numbers.

Least Common Multiple (LCM) of 2211 and 2218 is 4903998.

LCM(2211,2218) = 4903998

LCM of 2211 and 2218

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

LCM of:
and

Least Common Multiple of 2211 and 2218

LCM of 2211 and 2218 is 4903998

Least common multiple can be found by multiplying the highest exponent prime factors of 2211 and 2218. First we will calculate the prime factors of 2211 and 2218.

Prime Factorization of 2211


3 2211
11 737
67 67
1

Prime factors of 2211 are 3, 11,67. Prime factorization of 2211 in exponential form is:

2211 = 31×111×671

Prime Factorization of 2218


2 2218
1109 1109
1

Prime factors of 2218 are 2,1109. Prime factorization of 2218 in exponential form is:

2218 = 21×11091

Now multiplying the highest exponent prime factors to calculate the LCM of 2211 and 2218.

LCM(2211,2218) = 21×31×111×671×11091
LCM(2211,2218) = 4903998

Factors of 2211

List of positive integer factors of 2211 that divides 2211 without a remainder.

1, 3, 11, 33, 67, 201, 737, 2211

Factors of 2218

List of positive integer factors of 2218 that divides 2218 without a remainder.

1, 2, 1109, 2218

Least Common Multiple of 2211 and 2218 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2211 and 2218, than apply into the LCM equation.

GCF(2211,2218) = 1
LCM(2211,2218) = ( 2211 × 2218) / 1
LCM(2211,2218) = 4903998 / 1
LCM(2211,2218) = 4903998

Properties of LCM 2211 and 2218

(i) The LCM of 2218 and 2211 is associative

LCM of 2211 and 2218 = LCM of 2218 and 2211

Related Least Common Multiples of 2211

Related Least Common Multiples of 2218

Frequently Asked Questions on LCM of 2211 and 2218

1. What is the LCM of 2211 and 2218?

Answer: LCM of 2211 and 2218 is 4903998.

2. What are the Factors of 2211?

Answer: Factors of 2211 are 1, 3, 11, 33, 67, 201, 737, 2211. There are 8 integers that are factors of 2211. The greatest factor of 2211 is 2211.

3. What are the Factors of 2218?

Answer: Factors of 2218 are 1, 2, 1109, 2218. There are 4 integers that are factors of 2218. The greatest factor of 2218 is 2218.

4. How to Find the LCM of 2211 and 2218?

Answer:

Least Common Multiple of 2211 and 2218 = 4903998

Step 1: Find the prime factorization of 2211

2211 = 3 x 11 x 67

Step 2: Find the prime factorization of 2218

2218 = 2 x 1109

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

LCM = 4903998 = 2 x 3 x 11 x 67 x 1109

Step 4: Therefore, the least common multiple of 2211 and 2218 is 4903998.