Least Common Multiple of 1208 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 1208 and 1210 the smallest integer that is 730840 that is divisible by both numbers.

Least Common Multiple (LCM) of 1208 and 1210 is 730840.

LCM(1208,1210) = 730840

LCM of 1208 and 1210

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

LCM of:
and

Least Common Multiple of 1208 and 1210

LCM of 1208 and 1210 is 730840

Least common multiple can be found by multiplying the highest exponent prime factors of 1208 and 1210. First we will calculate the prime factors of 1208 and 1210.

Prime Factorization of 1208


2 1208
2 604
2 302
151 151
1

Prime factors of 1208 are 2,151. Prime factorization of 1208 in exponential form is:

1208 = 23×1511

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 1208 and 1210.

LCM(1208,1210) = 23×51×112×1511
LCM(1208,1210) = 730840

Factors of 1208

List of positive integer factors of 1208 that divides 1208 without a remainder.

1, 2, 4, 8, 151, 302, 604, 1208

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 1208 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 1208 and 1210, than apply into the LCM equation.

GCF(1208,1210) = 2
LCM(1208,1210) = ( 1208 × 1210) / 2
LCM(1208,1210) = 1461680 / 2
LCM(1208,1210) = 730840

Properties of LCM 1208 and 1210

(i) The LCM of 1210 and 1208 is associative

LCM of 1208 and 1210 = LCM of 1210 and 1208

Related Least Common Multiples of 1208

Related Least Common Multiples of 1210

Frequently Asked Questions on LCM of 1208 and 1210

1. What is the LCM of 1208 and 1210?

Answer: LCM of 1208 and 1210 is 730840.

2. What are the Factors of 1208?

Answer: Factors of 1208 are 1, 2, 4, 8, 151, 302, 604, 1208. There are 8 integers that are factors of 1208. The greatest factor of 1208 is 1208.

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 1208 and 1210?

Answer:

Least Common Multiple of 1208 and 1210 = 730840

Step 1: Find the prime factorization of 1208

1208 = 2 x 2 x 2 x 151

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 = 730840 = 2 x 2 x 2 x 5 x 11 x 11 x 151

Step 4: Therefore, the least common multiple of 1208 and 1210 is 730840.