Least Common Multiple of 1208 and 1213

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 1213 the smallest integer that is 1465304 that is divisible by both numbers.

Least Common Multiple (LCM) of 1208 and 1213 is 1465304.

LCM(1208,1213) = 1465304

LCM of 1208 and 1213

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

LCM of:
and

Least Common Multiple of 1208 and 1213

LCM of 1208 and 1213 is 1465304

Least common multiple can be found by multiplying the highest exponent prime factors of 1208 and 1213. First we will calculate the prime factors of 1208 and 1213.

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 1213


1213 1213
1

Prime factors of 1213 are 1213. Prime factorization of 1213 in exponential form is:

1213 = 12131

Now multiplying the highest exponent prime factors to calculate the LCM of 1208 and 1213.

LCM(1208,1213) = 23×1511×12131
LCM(1208,1213) = 1465304

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 1213

List of positive integer factors of 1213 that divides 1213 without a remainder.

1, 1213

Least Common Multiple of 1208 and 1213 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 1213, than apply into the LCM equation.

GCF(1208,1213) = 1
LCM(1208,1213) = ( 1208 × 1213) / 1
LCM(1208,1213) = 1465304 / 1
LCM(1208,1213) = 1465304

Properties of LCM 1208 and 1213

(i) The LCM of 1213 and 1208 is associative

LCM of 1208 and 1213 = LCM of 1213 and 1208

Related Least Common Multiples of 1208

Related Least Common Multiples of 1213

Frequently Asked Questions on LCM of 1208 and 1213

1. What is the LCM of 1208 and 1213?

Answer: LCM of 1208 and 1213 is 1465304.

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 1213?

Answer: Factors of 1213 are 1, 1213. There are 2 integers that are factors of 1213. The greatest factor of 1213 is 1213.

4. How to Find the LCM of 1208 and 1213?

Answer:

Least Common Multiple of 1208 and 1213 = 1465304

Step 1: Find the prime factorization of 1208

1208 = 2 x 2 x 2 x 151

Step 2: Find the prime factorization of 1213

1213 = 1213

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

LCM = 1465304 = 2 x 2 x 2 x 151 x 1213

Step 4: Therefore, the least common multiple of 1208 and 1213 is 1465304.