Least Common Multiple of 1218 and 1226

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1218 and 1226 the smallest integer that is 746634 that is divisible by both numbers.

Least Common Multiple (LCM) of 1218 and 1226 is 746634.

LCM(1218,1226) = 746634

LCM of 1218 and 1226

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

LCM of:
and

Least Common Multiple of 1218 and 1226

LCM of 1218 and 1226 is 746634

Least common multiple can be found by multiplying the highest exponent prime factors of 1218 and 1226. First we will calculate the prime factors of 1218 and 1226.

Prime Factorization of 1218


2 1218
3 609
7 203
29 29
1

Prime factors of 1218 are 2, 3, 7,29. Prime factorization of 1218 in exponential form is:

1218 = 21×31×71×291

Prime Factorization of 1226


2 1226
613 613
1

Prime factors of 1226 are 2,613. Prime factorization of 1226 in exponential form is:

1226 = 21×6131

Now multiplying the highest exponent prime factors to calculate the LCM of 1218 and 1226.

LCM(1218,1226) = 21×31×71×291×6131
LCM(1218,1226) = 746634

Factors of 1218

List of positive integer factors of 1218 that divides 1218 without a remainder.

1, 2, 3, 6, 7, 14, 21, 29, 42, 58, 87, 174, 203, 406, 609, 1218

Factors of 1226

List of positive integer factors of 1226 that divides 1226 without a remainder.

1, 2, 613, 1226

Least Common Multiple of 1218 and 1226 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1218 and 1226, than apply into the LCM equation.

GCF(1218,1226) = 2
LCM(1218,1226) = ( 1218 × 1226) / 2
LCM(1218,1226) = 1493268 / 2
LCM(1218,1226) = 746634

Properties of LCM 1218 and 1226

(i) The LCM of 1226 and 1218 is associative

LCM of 1218 and 1226 = LCM of 1226 and 1218

Related Least Common Multiples of 1218

Related Least Common Multiples of 1226

Frequently Asked Questions on LCM of 1218 and 1226

1. What is the LCM of 1218 and 1226?

Answer: LCM of 1218 and 1226 is 746634.

2. What are the Factors of 1218?

Answer: Factors of 1218 are 1, 2, 3, 6, 7, 14, 21, 29, 42, 58, 87, 174, 203, 406, 609, 1218. There are 16 integers that are factors of 1218. The greatest factor of 1218 is 1218.

3. What are the Factors of 1226?

Answer: Factors of 1226 are 1, 2, 613, 1226. There are 4 integers that are factors of 1226. The greatest factor of 1226 is 1226.

4. How to Find the LCM of 1218 and 1226?

Answer:

Least Common Multiple of 1218 and 1226 = 746634

Step 1: Find the prime factorization of 1218

1218 = 2 x 3 x 7 x 29

Step 2: Find the prime factorization of 1226

1226 = 2 x 613

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

LCM = 746634 = 2 x 3 x 7 x 29 x 613

Step 4: Therefore, the least common multiple of 1218 and 1226 is 746634.