Least Common Multiple of 1210 and 1215

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 1215 the smallest integer that is 294030 that is divisible by both numbers.

Least Common Multiple (LCM) of 1210 and 1215 is 294030.

LCM(1210,1215) = 294030

LCM of 1210 and 1215

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

LCM of:
and

Least Common Multiple of 1210 and 1215

LCM of 1210 and 1215 is 294030

Least common multiple can be found by multiplying the highest exponent prime factors of 1210 and 1215. First we will calculate the prime factors of 1210 and 1215.

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 1215


3 1215
3 405
3 135
3 45
3 15
5 5
1

Prime factors of 1215 are 3,5. Prime factorization of 1215 in exponential form is:

1215 = 35×51

Now multiplying the highest exponent prime factors to calculate the LCM of 1210 and 1215.

LCM(1210,1215) = 21×35×51×112
LCM(1210,1215) = 294030

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 1215

List of positive integer factors of 1215 that divides 1215 without a remainder.

1, 3, 5, 9, 15, 27, 45, 81, 135, 243, 405, 1215

Least Common Multiple of 1210 and 1215 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 1215, than apply into the LCM equation.

GCF(1210,1215) = 5
LCM(1210,1215) = ( 1210 × 1215) / 5
LCM(1210,1215) = 1470150 / 5
LCM(1210,1215) = 294030

Properties of LCM 1210 and 1215

(i) The LCM of 1215 and 1210 is associative

LCM of 1210 and 1215 = LCM of 1215 and 1210

Related Least Common Multiples of 1210

Related Least Common Multiples of 1215

Frequently Asked Questions on LCM of 1210 and 1215

1. What is the LCM of 1210 and 1215?

Answer: LCM of 1210 and 1215 is 294030.

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 1215?

Answer: Factors of 1215 are 1, 3, 5, 9, 15, 27, 45, 81, 135, 243, 405, 1215. There are 12 integers that are factors of 1215. The greatest factor of 1215 is 1215.

4. How to Find the LCM of 1210 and 1215?

Answer:

Least Common Multiple of 1210 and 1215 = 294030

Step 1: Find the prime factorization of 1210

1210 = 2 x 5 x 11 x 11

Step 2: Find the prime factorization of 1215

1215 = 3 x 3 x 3 x 3 x 3 x 5

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

LCM = 294030 = 2 x 3 x 3 x 3 x 3 x 3 x 5 x 11 x 11

Step 4: Therefore, the least common multiple of 1210 and 1215 is 294030.