Least Common Multiple of 2118 and 2122

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2118 and 2122 the smallest integer that is 2247198 that is divisible by both numbers.

Least Common Multiple (LCM) of 2118 and 2122 is 2247198.

LCM(2118,2122) = 2247198

LCM of 2118 and 2122

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

LCM of:
and

Least Common Multiple of 2118 and 2122

LCM of 2118 and 2122 is 2247198

Least common multiple can be found by multiplying the highest exponent prime factors of 2118 and 2122. First we will calculate the prime factors of 2118 and 2122.

Prime Factorization of 2118


2 2118
3 1059
353 353
1

Prime factors of 2118 are 2, 3,353. Prime factorization of 2118 in exponential form is:

2118 = 21×31×3531

Prime Factorization of 2122


2 2122
1061 1061
1

Prime factors of 2122 are 2,1061. Prime factorization of 2122 in exponential form is:

2122 = 21×10611

Now multiplying the highest exponent prime factors to calculate the LCM of 2118 and 2122.

LCM(2118,2122) = 21×31×3531×10611
LCM(2118,2122) = 2247198

Factors of 2118

List of positive integer factors of 2118 that divides 2118 without a remainder.

1, 2, 3, 6, 353, 706, 1059, 2118

Factors of 2122

List of positive integer factors of 2122 that divides 2122 without a remainder.

1, 2, 1061, 2122

Least Common Multiple of 2118 and 2122 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2118 and 2122, than apply into the LCM equation.

GCF(2118,2122) = 2
LCM(2118,2122) = ( 2118 × 2122) / 2
LCM(2118,2122) = 4494396 / 2
LCM(2118,2122) = 2247198

Properties of LCM 2118 and 2122

(i) The LCM of 2122 and 2118 is associative

LCM of 2118 and 2122 = LCM of 2122 and 2118

Related Least Common Multiples of 2118

Related Least Common Multiples of 2122

Frequently Asked Questions on LCM of 2118 and 2122

1. What is the LCM of 2118 and 2122?

Answer: LCM of 2118 and 2122 is 2247198.

2. What are the Factors of 2118?

Answer: Factors of 2118 are 1, 2, 3, 6, 353, 706, 1059, 2118. There are 8 integers that are factors of 2118. The greatest factor of 2118 is 2118.

3. What are the Factors of 2122?

Answer: Factors of 2122 are 1, 2, 1061, 2122. There are 4 integers that are factors of 2122. The greatest factor of 2122 is 2122.

4. How to Find the LCM of 2118 and 2122?

Answer:

Least Common Multiple of 2118 and 2122 = 2247198

Step 1: Find the prime factorization of 2118

2118 = 2 x 3 x 353

Step 2: Find the prime factorization of 2122

2122 = 2 x 1061

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

LCM = 2247198 = 2 x 3 x 353 x 1061

Step 4: Therefore, the least common multiple of 2118 and 2122 is 2247198.