Least Common Multiple of 1213 and 1218

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1213 and 1218 the smallest integer that is 1477434 that is divisible by both numbers.

Least Common Multiple (LCM) of 1213 and 1218 is 1477434.

LCM(1213,1218) = 1477434

LCM of 1213 and 1218

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

LCM of:
and

Least Common Multiple of 1213 and 1218

LCM of 1213 and 1218 is 1477434

Least common multiple can be found by multiplying the highest exponent prime factors of 1213 and 1218. First we will calculate the prime factors of 1213 and 1218.

Prime Factorization of 1213


1213 1213
1

Prime factors of 1213 are 1213. Prime factorization of 1213 in exponential form is:

1213 = 12131

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1213 and 1218.

LCM(1213,1218) = 21×31×71×291×12131
LCM(1213,1218) = 1477434

Factors of 1213

List of positive integer factors of 1213 that divides 1213 without a remainder.

1, 1213

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

Least Common Multiple of 1213 and 1218 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1213 and 1218, than apply into the LCM equation.

GCF(1213,1218) = 1
LCM(1213,1218) = ( 1213 × 1218) / 1
LCM(1213,1218) = 1477434 / 1
LCM(1213,1218) = 1477434

Properties of LCM 1213 and 1218

(i) The LCM of 1218 and 1213 is associative

LCM of 1213 and 1218 = LCM of 1218 and 1213

Related Least Common Multiples of 1213

Related Least Common Multiples of 1218

Frequently Asked Questions on LCM of 1213 and 1218

1. What is the LCM of 1213 and 1218?

Answer: LCM of 1213 and 1218 is 1477434.

2. What are the Factors of 1213?

Answer: Factors of 1213 are 1, 1213. There are 2 integers that are factors of 1213. The greatest factor of 1213 is 1213.

3. 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.

4. How to Find the LCM of 1213 and 1218?

Answer:

Least Common Multiple of 1213 and 1218 = 1477434

Step 1: Find the prime factorization of 1213

1213 = 1213

Step 2: Find the prime factorization of 1218

1218 = 2 x 3 x 7 x 29

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

LCM = 1477434 = 2 x 3 x 7 x 29 x 1213

Step 4: Therefore, the least common multiple of 1213 and 1218 is 1477434.