Least Common Multiple of 1210 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 1210 and 1218 the smallest integer that is 736890 that is divisible by both numbers.

Least Common Multiple (LCM) of 1210 and 1218 is 736890.

LCM(1210,1218) = 736890

LCM of 1210 and 1218

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

LCM of:
and

Least Common Multiple of 1210 and 1218

LCM of 1210 and 1218 is 736890

Least common multiple can be found by multiplying the highest exponent prime factors of 1210 and 1218. First we will calculate the prime factors of 1210 and 1218.

Prime Factorization of 1210


2 1210
5 605
11 121
11 11
1

Prime factors of 1210 are 2, 5,11. Prime factorization of 1210 in exponential form is:

1210 = 21×51×112

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 1210 and 1218.

LCM(1210,1218) = 21×31×51×71×112×291
LCM(1210,1218) = 736890

Factors of 1210

List of positive integer factors of 1210 that divides 1210 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110, 121, 242, 605, 1210

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 1210 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 1210 and 1218, than apply into the LCM equation.

GCF(1210,1218) = 2
LCM(1210,1218) = ( 1210 × 1218) / 2
LCM(1210,1218) = 1473780 / 2
LCM(1210,1218) = 736890

Properties of LCM 1210 and 1218

(i) The LCM of 1218 and 1210 is associative

LCM of 1210 and 1218 = LCM of 1218 and 1210

Related Least Common Multiples of 1210

Related Least Common Multiples of 1218

Frequently Asked Questions on LCM of 1210 and 1218

1. What is the LCM of 1210 and 1218?

Answer: LCM of 1210 and 1218 is 736890.

2. What are the Factors of 1210?

Answer: Factors of 1210 are 1, 2, 5, 10, 11, 22, 55, 110, 121, 242, 605, 1210. There are 12 integers that are factors of 1210. The greatest factor of 1210 is 1210.

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 1210 and 1218?

Answer:

Least Common Multiple of 1210 and 1218 = 736890

Step 1: Find the prime factorization of 1210

1210 = 2 x 5 x 11 x 11

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 = 736890 = 2 x 3 x 5 x 7 x 11 x 11 x 29

Step 4: Therefore, the least common multiple of 1210 and 1218 is 736890.