Least Common Multiple of 1229 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 1229 and 1235 the smallest integer that is 1517815 that is divisible by both numbers.

Least Common Multiple (LCM) of 1229 and 1235 is 1517815.

LCM(1229,1235) = 1517815

LCM of 1229 and 1235

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

LCM of:
and

Least Common Multiple of 1229 and 1235

LCM of 1229 and 1235 is 1517815

Least common multiple can be found by multiplying the highest exponent prime factors of 1229 and 1235. First we will calculate the prime factors of 1229 and 1235.

Prime Factorization of 1229


1229 1229
1

Prime factors of 1229 are 1229. Prime factorization of 1229 in exponential form is:

1229 = 12291

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 1229 and 1235.

LCM(1229,1235) = 51×131×191×12291
LCM(1229,1235) = 1517815

Factors of 1229

List of positive integer factors of 1229 that divides 1229 without a remainder.

1, 1229

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 1229 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 1229 and 1235, than apply into the LCM equation.

GCF(1229,1235) = 1
LCM(1229,1235) = ( 1229 × 1235) / 1
LCM(1229,1235) = 1517815 / 1
LCM(1229,1235) = 1517815

Properties of LCM 1229 and 1235

(i) The LCM of 1235 and 1229 is associative

LCM of 1229 and 1235 = LCM of 1235 and 1229

Related Least Common Multiples of 1229

Related Least Common Multiples of 1235

Frequently Asked Questions on LCM of 1229 and 1235

1. What is the LCM of 1229 and 1235?

Answer: LCM of 1229 and 1235 is 1517815.

2. What are the Factors of 1229?

Answer: Factors of 1229 are 1, 1229. There are 2 integers that are factors of 1229. The greatest factor of 1229 is 1229.

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 1229 and 1235?

Answer:

Least Common Multiple of 1229 and 1235 = 1517815

Step 1: Find the prime factorization of 1229

1229 = 1229

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 = 1517815 = 5 x 13 x 19 x 1229

Step 4: Therefore, the least common multiple of 1229 and 1235 is 1517815.