Least Common Multiple of 1204 and 1210

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1204 and 1210 the smallest integer that is 728420 that is divisible by both numbers.

Least Common Multiple (LCM) of 1204 and 1210 is 728420.

LCM(1204,1210) = 728420

LCM of 1204 and 1210

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

LCM of:
and

Least Common Multiple of 1204 and 1210

LCM of 1204 and 1210 is 728420

Least common multiple can be found by multiplying the highest exponent prime factors of 1204 and 1210. First we will calculate the prime factors of 1204 and 1210.

Prime Factorization of 1204


2 1204
2 602
7 301
43 43
1

Prime factors of 1204 are 2, 7,43. Prime factorization of 1204 in exponential form is:

1204 = 22×71×431

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1204 and 1210.

LCM(1204,1210) = 22×51×71×112×431
LCM(1204,1210) = 728420

Factors of 1204

List of positive integer factors of 1204 that divides 1204 without a remainder.

1, 2, 4, 7, 14, 28, 43, 86, 172, 301, 602, 1204

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

Least Common Multiple of 1204 and 1210 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1204 and 1210, than apply into the LCM equation.

GCF(1204,1210) = 2
LCM(1204,1210) = ( 1204 × 1210) / 2
LCM(1204,1210) = 1456840 / 2
LCM(1204,1210) = 728420

Properties of LCM 1204 and 1210

(i) The LCM of 1210 and 1204 is associative

LCM of 1204 and 1210 = LCM of 1210 and 1204

Related Least Common Multiples of 1204

Related Least Common Multiples of 1210

Frequently Asked Questions on LCM of 1204 and 1210

1. What is the LCM of 1204 and 1210?

Answer: LCM of 1204 and 1210 is 728420.

2. What are the Factors of 1204?

Answer: Factors of 1204 are 1, 2, 4, 7, 14, 28, 43, 86, 172, 301, 602, 1204. There are 12 integers that are factors of 1204. The greatest factor of 1204 is 1204.

3. 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.

4. How to Find the LCM of 1204 and 1210?

Answer:

Least Common Multiple of 1204 and 1210 = 728420

Step 1: Find the prime factorization of 1204

1204 = 2 x 2 x 7 x 43

Step 2: Find the prime factorization of 1210

1210 = 2 x 5 x 11 x 11

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

LCM = 728420 = 2 x 2 x 5 x 7 x 11 x 11 x 43

Step 4: Therefore, the least common multiple of 1204 and 1210 is 728420.