Least Common Multiple of 1218 and 1225

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 1225 the smallest integer that is 213150 that is divisible by both numbers.

Least Common Multiple (LCM) of 1218 and 1225 is 213150.

LCM(1218,1225) = 213150

LCM of 1218 and 1225

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

LCM of:
and

Least Common Multiple of 1218 and 1225

LCM of 1218 and 1225 is 213150

Least common multiple can be found by multiplying the highest exponent prime factors of 1218 and 1225. First we will calculate the prime factors of 1218 and 1225.

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 1225


5 1225
5 245
7 49
7 7
1

Prime factors of 1225 are 5,7. Prime factorization of 1225 in exponential form is:

1225 = 52×72

Now multiplying the highest exponent prime factors to calculate the LCM of 1218 and 1225.

LCM(1218,1225) = 21×31×52×72×291
LCM(1218,1225) = 213150

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 1225

List of positive integer factors of 1225 that divides 1225 without a remainder.

1, 5, 7, 25, 35, 49, 175, 245, 1225

Least Common Multiple of 1218 and 1225 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 1225, than apply into the LCM equation.

GCF(1218,1225) = 7
LCM(1218,1225) = ( 1218 × 1225) / 7
LCM(1218,1225) = 1492050 / 7
LCM(1218,1225) = 213150

Properties of LCM 1218 and 1225

(i) The LCM of 1225 and 1218 is associative

LCM of 1218 and 1225 = LCM of 1225 and 1218

Related Least Common Multiples of 1218

Related Least Common Multiples of 1225

Frequently Asked Questions on LCM of 1218 and 1225

1. What is the LCM of 1218 and 1225?

Answer: LCM of 1218 and 1225 is 213150.

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 1225?

Answer: Factors of 1225 are 1, 5, 7, 25, 35, 49, 175, 245, 1225. There are 9 integers that are factors of 1225. The greatest factor of 1225 is 1225.

4. How to Find the LCM of 1218 and 1225?

Answer:

Least Common Multiple of 1218 and 1225 = 213150

Step 1: Find the prime factorization of 1218

1218 = 2 x 3 x 7 x 29

Step 2: Find the prime factorization of 1225

1225 = 5 x 5 x 7 x 7

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

LCM = 213150 = 2 x 3 x 5 x 5 x 7 x 7 x 29

Step 4: Therefore, the least common multiple of 1218 and 1225 is 213150.