Least Common Multiple of 1210 and 1217

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 1217 the smallest integer that is 1472570 that is divisible by both numbers.

Least Common Multiple (LCM) of 1210 and 1217 is 1472570.

LCM(1210,1217) = 1472570

LCM of 1210 and 1217

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

LCM of:
and

Least Common Multiple of 1210 and 1217

LCM of 1210 and 1217 is 1472570

Least common multiple can be found by multiplying the highest exponent prime factors of 1210 and 1217. First we will calculate the prime factors of 1210 and 1217.

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 1217


1217 1217
1

Prime factors of 1217 are 1217. Prime factorization of 1217 in exponential form is:

1217 = 12171

Now multiplying the highest exponent prime factors to calculate the LCM of 1210 and 1217.

LCM(1210,1217) = 21×51×112×12171
LCM(1210,1217) = 1472570

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 1217

List of positive integer factors of 1217 that divides 1217 without a remainder.

1, 1217

Least Common Multiple of 1210 and 1217 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 1217, than apply into the LCM equation.

GCF(1210,1217) = 1
LCM(1210,1217) = ( 1210 × 1217) / 1
LCM(1210,1217) = 1472570 / 1
LCM(1210,1217) = 1472570

Properties of LCM 1210 and 1217

(i) The LCM of 1217 and 1210 is associative

LCM of 1210 and 1217 = LCM of 1217 and 1210

Related Least Common Multiples of 1210

Related Least Common Multiples of 1217

Frequently Asked Questions on LCM of 1210 and 1217

1. What is the LCM of 1210 and 1217?

Answer: LCM of 1210 and 1217 is 1472570.

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 1217?

Answer: Factors of 1217 are 1, 1217. There are 2 integers that are factors of 1217. The greatest factor of 1217 is 1217.

4. How to Find the LCM of 1210 and 1217?

Answer:

Least Common Multiple of 1210 and 1217 = 1472570

Step 1: Find the prime factorization of 1210

1210 = 2 x 5 x 11 x 11

Step 2: Find the prime factorization of 1217

1217 = 1217

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

LCM = 1472570 = 2 x 5 x 11 x 11 x 1217

Step 4: Therefore, the least common multiple of 1210 and 1217 is 1472570.