Least Common Multiple of 1228 and 1235

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1228 and 1235 the smallest integer that is 1516580 that is divisible by both numbers.

Least Common Multiple (LCM) of 1228 and 1235 is 1516580.

LCM(1228,1235) = 1516580

LCM of 1228 and 1235

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

LCM of:
and

Least Common Multiple of 1228 and 1235

LCM of 1228 and 1235 is 1516580

Least common multiple can be found by multiplying the highest exponent prime factors of 1228 and 1235. First we will calculate the prime factors of 1228 and 1235.

Prime Factorization of 1228


2 1228
2 614
307 307
1

Prime factors of 1228 are 2,307. Prime factorization of 1228 in exponential form is:

1228 = 22×3071

Prime Factorization of 1235


5 1235
13 247
19 19
1

Prime factors of 1235 are 5, 13,19. Prime factorization of 1235 in exponential form is:

1235 = 51×131×191

Now multiplying the highest exponent prime factors to calculate the LCM of 1228 and 1235.

LCM(1228,1235) = 22×51×131×191×3071
LCM(1228,1235) = 1516580

Factors of 1228

List of positive integer factors of 1228 that divides 1228 without a remainder.

1, 2, 4, 307, 614, 1228

Factors of 1235

List of positive integer factors of 1235 that divides 1235 without a remainder.

1, 5, 13, 19, 65, 95, 247, 1235

Least Common Multiple of 1228 and 1235 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1228 and 1235, than apply into the LCM equation.

GCF(1228,1235) = 1
LCM(1228,1235) = ( 1228 × 1235) / 1
LCM(1228,1235) = 1516580 / 1
LCM(1228,1235) = 1516580

Properties of LCM 1228 and 1235

(i) The LCM of 1235 and 1228 is associative

LCM of 1228 and 1235 = LCM of 1235 and 1228

Related Least Common Multiples of 1228

Related Least Common Multiples of 1235

Frequently Asked Questions on LCM of 1228 and 1235

1. What is the LCM of 1228 and 1235?

Answer: LCM of 1228 and 1235 is 1516580.

2. What are the Factors of 1228?

Answer: Factors of 1228 are 1, 2, 4, 307, 614, 1228. There are 6 integers that are factors of 1228. The greatest factor of 1228 is 1228.

3. What are the Factors of 1235?

Answer: Factors of 1235 are 1, 5, 13, 19, 65, 95, 247, 1235. There are 8 integers that are factors of 1235. The greatest factor of 1235 is 1235.

4. How to Find the LCM of 1228 and 1235?

Answer:

Least Common Multiple of 1228 and 1235 = 1516580

Step 1: Find the prime factorization of 1228

1228 = 2 x 2 x 307

Step 2: Find the prime factorization of 1235

1235 = 5 x 13 x 19

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

LCM = 1516580 = 2 x 2 x 5 x 13 x 19 x 307

Step 4: Therefore, the least common multiple of 1228 and 1235 is 1516580.